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Finding the Fourth Proportional to 145,414.90, 217,899.54 and 97,854.02

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Solution

The fourth proportional to 145,414.90, 217,899.54 and 97,854.02 is: 146,631.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,414.90 : 217,899.54 = 97,854.02 : x
  2. Step 2: Convert to fraction form
    145,414.90/217,899.54 = 97,854.02/x
  3. Step 3: Cross multiply
    145,414.90x = 217,899.54 × 97,854.02
  4. Step 4: Simplify right side
    145,414.90x = 21,322,347,173.68
  5. Step 5: Solve for x
    x = 21,322,347,173.68/145,414.90
  6. Step 6: Final answer
    x = 146,631.11

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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.