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Finding the Fourth Proportional to 185,008.80, 277,597.92 and 100,642.53

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Solution

The fourth proportional to 185,008.80, 277,597.92 and 100,642.53 is: 151,009.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,008.80 : 277,597.92 = 100,642.53 : x
  2. Step 2: Convert to fraction form
    185,008.80/277,597.92 = 100,642.53/x
  3. Step 3: Cross multiply
    185,008.80x = 277,597.92 × 100,642.53
  4. Step 4: Simplify right side
    185,008.80x = 27,938,156,991.54
  5. Step 5: Solve for x
    x = 27,938,156,991.54/185,008.80
  6. Step 6: Final answer
    x = 151,009.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.