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Finding the Fourth Proportional to 187,750, 259,095.16 and 102,867.44

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Solution

The fourth proportional to 187,750, 259,095.16 and 102,867.44 is: 141,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,750 : 259,095.16 = 102,867.44 : x
  2. Step 2: Convert to fraction form
    187,750/259,095.16 = 102,867.44/x
  3. Step 3: Cross multiply
    187,750x = 259,095.16 × 102,867.44
  4. Step 4: Simplify right side
    187,750x = 26,652,455,825.59
  5. Step 5: Solve for x
    x = 26,652,455,825.59/187,750
  6. Step 6: Final answer
    x = 141,957.15

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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.