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Finding the Fourth Proportional to 99,967.60, 149,708.40 and 53,117.20

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Solution

The fourth proportional to 99,967.60, 149,708.40 and 53,117.20 is: 79,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,967.60 : 149,708.40 = 53,117.20 : x
  2. Step 2: Convert to fraction form
    99,967.60/149,708.40 = 53,117.20/x
  3. Step 3: Cross multiply
    99,967.60x = 149,708.40 × 53,117.20
  4. Step 4: Simplify right side
    99,967.60x = 7,952,091,024.48
  5. Step 5: Solve for x
    x = 7,952,091,024.48/99,967.60
  6. Step 6: Final answer
    x = 79,546.68

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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.