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Finding the Fourth Proportional to 177,654.16, 245,152.33 and 97,082.31

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Solution

The fourth proportional to 177,654.16, 245,152.33 and 97,082.31 is: 133,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,654.16 : 245,152.33 = 97,082.31 : x
  2. Step 2: Convert to fraction form
    177,654.16/245,152.33 = 97,082.31/x
  3. Step 3: Cross multiply
    177,654.16x = 245,152.33 × 97,082.31
  4. Step 4: Simplify right side
    177,654.16x = 23,799,954,255.58
  5. Step 5: Solve for x
    x = 23,799,954,255.58/177,654.16
  6. Step 6: Final answer
    x = 133,967.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.