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Finding the Fourth Proportional to 99,765,102.80, 149,647,654.20 and 65,724,885.20

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Solution

The fourth proportional to 99,765,102.80, 149,647,654.20 and 65,724,885.20 is: 98,587,327.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,765,102.80 : 149,647,654.20 = 65,724,885.20 : x
  2. Step 2: Convert to fraction form
    99,765,102.80/149,647,654.20 = 65,724,885.20/x
  3. Step 3: Cross multiply
    99,765,102.80x = 149,647,654.20 × 65,724,885.20
  4. Step 4: Simplify right side
    99,765,102.80x = 9,835,574,892,744,298
  5. Step 5: Solve for x
    x = 9,835,574,892,744,298/99,765,102.80
  6. Step 6: Final answer
    x = 98,587,327.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.