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Finding the Fourth Proportional to 169,369.52, 233,713.10 and 97,772.60

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Solution

The fourth proportional to 169,369.52, 233,713.10 and 97,772.60 is: 134,916.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,369.52 : 233,713.10 = 97,772.60 : x
  2. Step 2: Convert to fraction form
    169,369.52/233,713.10 = 97,772.60/x
  3. Step 3: Cross multiply
    169,369.52x = 233,713.10 × 97,772.60
  4. Step 4: Simplify right side
    169,369.52x = 22,850,737,441.06
  5. Step 5: Solve for x
    x = 22,850,737,441.06/169,369.52
  6. Step 6: Final answer
    x = 134,916.47

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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.