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Finding the Fourth Proportional to 101,138.60, 151,707.90 and 31,008.80

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Solution

The fourth proportional to 101,138.60, 151,707.90 and 31,008.80 is: 46,513.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,138.60 : 151,707.90 = 31,008.80 : x
  2. Step 2: Convert to fraction form
    101,138.60/151,707.90 = 31,008.80/x
  3. Step 3: Cross multiply
    101,138.60x = 151,707.90 × 31,008.80
  4. Step 4: Simplify right side
    101,138.60x = 4,704,279,929.52
  5. Step 5: Solve for x
    x = 4,704,279,929.52/101,138.60
  6. Step 6: Final answer
    x = 46,513.20

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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.