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Finding the Fourth Proportional to 187,257.38, 258,415.14 and 102,374.44

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Solution

The fourth proportional to 187,257.38, 258,415.14 and 102,374.44 is: 141,276.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,257.38 : 258,415.14 = 102,374.44 : x
  2. Step 2: Convert to fraction form
    187,257.38/258,415.14 = 102,374.44/x
  3. Step 3: Cross multiply
    187,257.38x = 258,415.14 × 102,374.44
  4. Step 4: Simplify right side
    187,257.38x = 26,455,105,184.14
  5. Step 5: Solve for x
    x = 26,455,105,184.14/187,257.38
  6. Step 6: Final answer
    x = 141,276.70

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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.