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Finding the Fourth Proportional to 157,468.16, 235,981.20 and 86,207.60

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Solution

The fourth proportional to 157,468.16, 235,981.20 and 86,207.60 is: 129,190.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,468.16 : 235,981.20 = 86,207.60 : x
  2. Step 2: Convert to fraction form
    157,468.16/235,981.20 = 86,207.60/x
  3. Step 3: Cross multiply
    157,468.16x = 235,981.20 × 86,207.60
  4. Step 4: Simplify right side
    157,468.16x = 20,343,372,897.12
  5. Step 5: Solve for x
    x = 20,343,372,897.12/157,468.16
  6. Step 6: Final answer
    x = 129,190.39

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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.