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Finding the Fourth Proportional to 185,392.14, 255,842.91 and 100,508.82

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Solution

The fourth proportional to 185,392.14, 255,842.91 and 100,508.82 is: 138,703.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,392.14 : 255,842.91 = 100,508.82 : x
  2. Step 2: Convert to fraction form
    185,392.14/255,842.91 = 100,508.82/x
  3. Step 3: Cross multiply
    185,392.14x = 255,842.91 × 100,508.82
  4. Step 4: Simplify right side
    185,392.14x = 25,714,468,989.47
  5. Step 5: Solve for x
    x = 25,714,468,989.47/185,392.14
  6. Step 6: Final answer
    x = 138,703.12

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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.