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Finding the Fourth Proportional to 150,226.60, 207,312.71 and 83,158.60

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Solution

The fourth proportional to 150,226.60, 207,312.71 and 83,158.60 is: 114,758.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,226.60 : 207,312.71 = 83,158.60 : x
  2. Step 2: Convert to fraction form
    150,226.60/207,312.71 = 83,158.60/x
  3. Step 3: Cross multiply
    150,226.60x = 207,312.71 × 83,158.60
  4. Step 4: Simplify right side
    150,226.60x = 17,239,834,310.01
  5. Step 5: Solve for x
    x = 17,239,834,310.01/150,226.60
  6. Step 6: Final answer
    x = 114,758.87

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1.5x scale

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.