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Finding the Fourth Proportional to 187,043.14, 258,119.52 and 102,160.39

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Solution

The fourth proportional to 187,043.14, 258,119.52 and 102,160.39 is: 140,981.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,043.14 : 258,119.52 = 102,160.39 : x
  2. Step 2: Convert to fraction form
    187,043.14/258,119.52 = 102,160.39/x
  3. Step 3: Cross multiply
    187,043.14x = 258,119.52 × 102,160.39
  4. Step 4: Simplify right side
    187,043.14x = 26,369,590,829.81
  5. Step 5: Solve for x
    x = 26,369,590,829.81/187,043.14
  6. Step 6: Final answer
    x = 140,981.33

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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.