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Finding the Fourth Proportional to 185,002.94, 255,304.38 and 100,120.08

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Solution

The fourth proportional to 185,002.94, 255,304.38 and 100,120.08 is: 138,165.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,002.94 : 255,304.38 = 100,120.08 : x
  2. Step 2: Convert to fraction form
    185,002.94/255,304.38 = 100,120.08/x
  3. Step 3: Cross multiply
    185,002.94x = 255,304.38 × 100,120.08
  4. Step 4: Simplify right side
    185,002.94x = 25,561,094,949.95
  5. Step 5: Solve for x
    x = 25,561,094,949.95/185,002.94
  6. Step 6: Final answer
    x = 138,165.89

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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.