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Finding the Fourth Proportional to 149,862.60, 224,729.10 and 74,953.80

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Solution

The fourth proportional to 149,862.60, 224,729.10 and 74,953.80 is: 112,398.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,862.60 : 224,729.10 = 74,953.80 : x
  2. Step 2: Convert to fraction form
    149,862.60/224,729.10 = 74,953.80/x
  3. Step 3: Cross multiply
    149,862.60x = 224,729.10 × 74,953.80
  4. Step 4: Simplify right side
    149,862.60x = 16,844,300,015.58
  5. Step 5: Solve for x
    x = 16,844,300,015.58/149,862.60
  6. Step 6: Final answer
    x = 112,398.29

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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.