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Finding the Fourth Proportional to 187,385.12, 258,591.45 and 102,504

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Solution

The fourth proportional to 187,385.12, 258,591.45 and 102,504 is: 141,455.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,385.12 : 258,591.45 = 102,504 : x
  2. Step 2: Convert to fraction form
    187,385.12/258,591.45 = 102,504/x
  3. Step 3: Cross multiply
    187,385.12x = 258,591.45 × 102,504
  4. Step 4: Simplify right side
    187,385.12x = 26,506,657,990.80
  5. Step 5: Solve for x
    x = 26,506,657,990.80/187,385.12
  6. Step 6: Final answer
    x = 141,455.52

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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.