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Finding the Fourth Proportional to 75,205.20, 112,807.80 and 66,748.80

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Solution

The fourth proportional to 75,205.20, 112,807.80 and 66,748.80 is: 100,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,205.20 : 112,807.80 = 66,748.80 : x
  2. Step 2: Convert to fraction form
    75,205.20/112,807.80 = 66,748.80/x
  3. Step 3: Cross multiply
    75,205.20x = 112,807.80 × 66,748.80
  4. Step 4: Simplify right side
    75,205.20x = 7,529,785,280.64
  5. Step 5: Solve for x
    x = 7,529,785,280.64/75,205.20
  6. Step 6: Final answer
    x = 100,123.20

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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.