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Finding the Fourth Proportional to 185,565.30, 256,080.06 and 100,682.34

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Solution

The fourth proportional to 185,565.30, 256,080.06 and 100,682.34 is: 138,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,565.30 : 256,080.06 = 100,682.34 : x
  2. Step 2: Convert to fraction form
    185,565.30/256,080.06 = 100,682.34/x
  3. Step 3: Cross multiply
    185,565.30x = 256,080.06 × 100,682.34
  4. Step 4: Simplify right side
    185,565.30x = 25,782,739,668.14
  5. Step 5: Solve for x
    x = 25,782,739,668.14/185,565.30
  6. Step 6: Final answer
    x = 138,941.60

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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.