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Finding the Fourth Proportional to 135,141.30, 186,506.46 and 78,549

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Solution

The fourth proportional to 135,141.30, 186,506.46 and 78,549 is: 108,404.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,141.30 : 186,506.46 = 78,549 : x
  2. Step 2: Convert to fraction form
    135,141.30/186,506.46 = 78,549/x
  3. Step 3: Cross multiply
    135,141.30x = 186,506.46 × 78,549
  4. Step 4: Simplify right side
    135,141.30x = 14,649,895,926.54
  5. Step 5: Solve for x
    x = 14,649,895,926.54/135,141.30
  6. Step 6: Final answer
    x = 108,404.28

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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.