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Finding the Fourth Proportional to 169,062.34, 233,253.12 and 97,432.57

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Solution

The fourth proportional to 169,062.34, 233,253.12 and 97,432.57 is: 134,426.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,062.34 : 233,253.12 = 97,432.57 : x
  2. Step 2: Convert to fraction form
    169,062.34/233,253.12 = 97,432.57/x
  3. Step 3: Cross multiply
    169,062.34x = 233,253.12 × 97,432.57
  4. Step 4: Simplify right side
    169,062.34x = 22,726,450,942.12
  5. Step 5: Solve for x
    x = 22,726,450,942.12/169,062.34
  6. Step 6: Final answer
    x = 134,426.45

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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.