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Finding the Fourth Proportional to 106,538.38, 147,031.28 and 61,232.18

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Solution

The fourth proportional to 106,538.38, 147,031.28 and 61,232.18 is: 84,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,538.38 : 147,031.28 = 61,232.18 : x
  2. Step 2: Convert to fraction form
    106,538.38/147,031.28 = 61,232.18/x
  3. Step 3: Cross multiply
    106,538.38x = 147,031.28 × 61,232.18
  4. Step 4: Simplify right side
    106,538.38x = 9,003,045,802.59
  5. Step 5: Solve for x
    x = 9,003,045,802.59/106,538.38
  6. Step 6: Final answer
    x = 84,505.19

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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.