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Finding the Fourth Proportional to 169,265.10, 233,610.71 and 97,631.13

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Solution

The fourth proportional to 169,265.10, 233,610.71 and 97,631.13 is: 134,745.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,265.10 : 233,610.71 = 97,631.13 : x
  2. Step 2: Convert to fraction form
    169,265.10/233,610.71 = 97,631.13/x
  3. Step 3: Cross multiply
    169,265.10x = 233,610.71 × 97,631.13
  4. Step 4: Simplify right side
    169,265.10x = 22,807,677,109.25
  5. Step 5: Solve for x
    x = 22,807,677,109.25/169,265.10
  6. Step 6: Final answer
    x = 134,745.30

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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.