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Finding the Fourth Proportional to 185,108.16, 255,449.28 and 100,225.20

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Solution

The fourth proportional to 185,108.16, 255,449.28 and 100,225.20 is: 138,310.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,108.16 : 255,449.28 = 100,225.20 : x
  2. Step 2: Convert to fraction form
    185,108.16/255,449.28 = 100,225.20/x
  3. Step 3: Cross multiply
    185,108.16x = 255,449.28 × 100,225.20
  4. Step 4: Simplify right side
    185,108.16x = 25,602,455,177.86
  5. Step 5: Solve for x
    x = 25,602,455,177.86/185,108.16
  6. Step 6: Final answer
    x = 138,310.79

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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.