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Finding the Fourth Proportional to 187,012.59, 258,078.32 and 102,129.65

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Solution

The fourth proportional to 187,012.59, 258,078.32 and 102,129.65 is: 140,939.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,012.59 : 258,078.32 = 102,129.65 : x
  2. Step 2: Convert to fraction form
    187,012.59/258,078.32 = 102,129.65/x
  3. Step 3: Cross multiply
    187,012.59x = 258,078.32 × 102,129.65
  4. Step 4: Simplify right side
    187,012.59x = 26,357,448,494.19
  5. Step 5: Solve for x
    x = 26,357,448,494.19/187,012.59
  6. Step 6: Final answer
    x = 140,939.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.