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Finding the Fourth Proportional to 98,414.60, 147,641.10 and 42,254.60

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Solution

The fourth proportional to 98,414.60, 147,641.10 and 42,254.60 is: 63,390.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,414.60 : 147,641.10 = 42,254.60 : x
  2. Step 2: Convert to fraction form
    98,414.60/147,641.10 = 42,254.60/x
  3. Step 3: Cross multiply
    98,414.60x = 147,641.10 × 42,254.60
  4. Step 4: Simplify right side
    98,414.60x = 6,238,515,624.06
  5. Step 5: Solve for x
    x = 6,238,515,624.06/98,414.60
  6. Step 6: Final answer
    x = 63,390.14

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Why These Related Problems?

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