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Finding the Fourth Proportional to 187,592.96, 258,878.16 and 102,711.68

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Solution

The fourth proportional to 187,592.96, 258,878.16 and 102,711.68 is: 141,742.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,592.96 : 258,878.16 = 102,711.68 : x
  2. Step 2: Convert to fraction form
    187,592.96/258,878.16 = 102,711.68/x
  3. Step 3: Cross multiply
    187,592.96x = 258,878.16 × 102,711.68
  4. Step 4: Simplify right side
    187,592.96x = 26,589,810,728.91
  5. Step 5: Solve for x
    x = 26,589,810,728.91/187,592.96
  6. Step 6: Final answer
    x = 141,742.05

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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.