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Finding the Fourth Proportional to 145,853.30, 201,277.68 and 78,785.30

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Solution

The fourth proportional to 145,853.30, 201,277.68 and 78,785.30 is: 108,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,853.30 : 201,277.68 = 78,785.30 : x
  2. Step 2: Convert to fraction form
    145,853.30/201,277.68 = 78,785.30/x
  3. Step 3: Cross multiply
    145,853.30x = 201,277.68 × 78,785.30
  4. Step 4: Simplify right side
    145,853.30x = 15,857,722,402.10
  5. Step 5: Solve for x
    x = 15,857,722,402.10/145,853.30
  6. Step 6: Final answer
    x = 108,723.78

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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.