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Finding the Fourth Proportional to 232,643.80, 348,965.70 and 66,410.20

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Solution

The fourth proportional to 232,643.80, 348,965.70 and 66,410.20 is: 99,615.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,643.80 : 348,965.70 = 66,410.20 : x
  2. Step 2: Convert to fraction form
    232,643.80/348,965.70 = 66,410.20/x
  3. Step 3: Cross multiply
    232,643.80x = 348,965.70 × 66,410.20
  4. Step 4: Simplify right side
    232,643.80x = 23,174,881,930.14
  5. Step 5: Solve for x
    x = 23,174,881,930.14/232,643.80
  6. Step 6: Final answer
    x = 99,615.30

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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.