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Finding the Fourth Proportional to 187,585, 281,377.50 and 56,257

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Solution

The fourth proportional to 187,585, 281,377.50 and 56,257 is: 84,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,585 : 281,377.50 = 56,257 : x
  2. Step 2: Convert to fraction form
    187,585/281,377.50 = 56,257/x
  3. Step 3: Cross multiply
    187,585x = 281,377.50 × 56,257
  4. Step 4: Simplify right side
    187,585x = 15,829,454,017.50
  5. Step 5: Solve for x
    x = 15,829,454,017.50/187,585
  6. Step 6: Final answer
    x = 84,385.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.