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Finding the Fourth Proportional to 187,012.38, 258,075.72 and 102,129.42

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Solution

The fourth proportional to 187,012.38, 258,075.72 and 102,129.42 is: 140,937.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,012.38 : 258,075.72 = 102,129.42 : x
  2. Step 2: Convert to fraction form
    187,012.38/258,075.72 = 102,129.42/x
  3. Step 3: Cross multiply
    187,012.38x = 258,075.72 × 102,129.42
  4. Step 4: Simplify right side
    187,012.38x = 26,357,123,599.68
  5. Step 5: Solve for x
    x = 26,357,123,599.68/187,012.38
  6. Step 6: Final answer
    x = 140,937.85

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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.