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Finding the Fourth Proportional to 145,924.13, 201,375.24 and 78,856.13

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Solution

The fourth proportional to 145,924.13, 201,375.24 and 78,856.13 is: 108,821.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,924.13 : 201,375.24 = 78,856.13 : x
  2. Step 2: Convert to fraction form
    145,924.13/201,375.24 = 78,856.13/x
  3. Step 3: Cross multiply
    145,924.13x = 201,375.24 × 78,856.13
  4. Step 4: Simplify right side
    145,924.13x = 15,879,672,104.22
  5. Step 5: Solve for x
    x = 15,879,672,104.22/145,924.13
  6. Step 6: Final answer
    x = 108,821.43

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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.