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Finding the Fourth Proportional to 150,098.83, 224,925.44 and 83,447.27

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Solution

The fourth proportional to 150,098.83, 224,925.44 and 83,447.27 is: 125,047.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,098.83 : 224,925.44 = 83,447.27 : x
  2. Step 2: Convert to fraction form
    150,098.83/224,925.44 = 83,447.27/x
  3. Step 3: Cross multiply
    150,098.83x = 224,925.44 × 83,447.27
  4. Step 4: Simplify right side
    150,098.83x = 18,769,413,921.55
  5. Step 5: Solve for x
    x = 18,769,413,921.55/150,098.83
  6. Step 6: Final answer
    x = 125,047.04

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1.5x scale

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.