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Finding the Fourth Proportional to 185,577.48, 256,097.16 and 100,695.96

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Solution

The fourth proportional to 185,577.48, 256,097.16 and 100,695.96 is: 138,960.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,577.48 : 256,097.16 = 100,695.96 : x
  2. Step 2: Convert to fraction form
    185,577.48/256,097.16 = 100,695.96/x
  3. Step 3: Cross multiply
    185,577.48x = 256,097.16 × 100,695.96
  4. Step 4: Simplify right side
    185,577.48x = 25,787,949,379.47
  5. Step 5: Solve for x
    x = 25,787,949,379.47/185,577.48
  6. Step 6: Final answer
    x = 138,960.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.