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Finding the Fourth Proportional to 145,145.88, 200,287.62 and 81,471.24

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Solution

The fourth proportional to 145,145.88, 200,287.62 and 81,471.24 is: 112,422.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,145.88 : 200,287.62 = 81,471.24 : x
  2. Step 2: Convert to fraction form
    145,145.88/200,287.62 = 81,471.24/x
  3. Step 3: Cross multiply
    145,145.88x = 200,287.62 × 81,471.24
  4. Step 4: Simplify right side
    145,145.88x = 16,317,680,758.05
  5. Step 5: Solve for x
    x = 16,317,680,758.05/145,145.88
  6. Step 6: Final answer
    x = 112,422.62

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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.