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Finding the Fourth Proportional to 144,248.81, 216,327 and 48,165.40

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Solution

The fourth proportional to 144,248.81, 216,327 and 48,165.40 is: 72,232.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,248.81 : 216,327 = 48,165.40 : x
  2. Step 2: Convert to fraction form
    144,248.81/216,327 = 48,165.40/x
  3. Step 3: Cross multiply
    144,248.81x = 216,327 × 48,165.40
  4. Step 4: Simplify right side
    144,248.81x = 10,419,475,404.17
  5. Step 5: Solve for x
    x = 10,419,475,404.17/144,248.81
  6. Step 6: Final answer
    x = 72,232.66

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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.