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Finding the Fourth Proportional to 187,570.32, 258,847.80 and 102,695.28

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Solution

The fourth proportional to 187,570.32, 258,847.80 and 102,695.28 is: 141,719.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,570.32 : 258,847.80 = 102,695.28 : x
  2. Step 2: Convert to fraction form
    187,570.32/258,847.80 = 102,695.28/x
  3. Step 3: Cross multiply
    187,570.32x = 258,847.80 × 102,695.28
  4. Step 4: Simplify right side
    187,570.32x = 26,582,447,298.38
  5. Step 5: Solve for x
    x = 26,582,447,298.38/187,570.32
  6. Step 6: Final answer
    x = 141,719.90

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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.