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Finding the Fourth Proportional to 185,125.64, 255,473.38 and 100,242.70

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Solution

The fourth proportional to 185,125.64, 255,473.38 and 100,242.70 is: 138,334.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,125.64 : 255,473.38 = 100,242.70 : x
  2. Step 2: Convert to fraction form
    185,125.64/255,473.38 = 100,242.70/x
  3. Step 3: Cross multiply
    185,125.64x = 255,473.38 × 100,242.70
  4. Step 4: Simplify right side
    185,125.64x = 25,609,340,500.04
  5. Step 5: Solve for x
    x = 25,609,340,500.04/185,125.64
  6. Step 6: Final answer
    x = 138,334.92

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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.