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Finding the Fourth Proportional to 98,207.17, 147,375.32 and 53,865

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Solution

The fourth proportional to 98,207.17, 147,375.32 and 53,865 is: 80,832.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,207.17 : 147,375.32 = 53,865 : x
  2. Step 2: Convert to fraction form
    98,207.17/147,375.32 = 53,865/x
  3. Step 3: Cross multiply
    98,207.17x = 147,375.32 × 53,865
  4. Step 4: Simplify right side
    98,207.17x = 7,938,371,342.48
  5. Step 5: Solve for x
    x = 7,938,371,342.48/98,207.17
  6. Step 6: Final answer
    x = 80,832.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.