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Finding the Fourth Proportional to 187,029, 258,101.46 and 102,146.09

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Solution

The fourth proportional to 187,029, 258,101.46 and 102,146.09 is: 140,962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,029 : 258,101.46 = 102,146.09 : x
  2. Step 2: Convert to fraction form
    187,029/258,101.46 = 102,146.09/x
  3. Step 3: Cross multiply
    187,029x = 258,101.46 × 102,146.09
  4. Step 4: Simplify right side
    187,029x = 26,364,053,671.78
  5. Step 5: Solve for x
    x = 26,364,053,671.78/187,029
  6. Step 6: Final answer
    x = 140,962.38

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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.