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Finding the Fourth Proportional to 187,523.25, 258,784.52 and 102,638.49

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Solution

The fourth proportional to 187,523.25, 258,784.52 and 102,638.49 is: 141,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,523.25 : 258,784.52 = 102,638.49 : x
  2. Step 2: Convert to fraction form
    187,523.25/258,784.52 = 102,638.49/x
  3. Step 3: Cross multiply
    187,523.25x = 258,784.52 × 102,638.49
  4. Step 4: Simplify right side
    187,523.25x = 26,561,251,854.98
  5. Step 5: Solve for x
    x = 26,561,251,854.98/187,523.25
  6. Step 6: Final answer
    x = 141,642.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.