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Finding the Fourth Proportional to 107,023.20, 160,534.80 and 100,024.80

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Solution

The fourth proportional to 107,023.20, 160,534.80 and 100,024.80 is: 150,037.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,023.20 : 160,534.80 = 100,024.80 : x
  2. Step 2: Convert to fraction form
    107,023.20/160,534.80 = 100,024.80/x
  3. Step 3: Cross multiply
    107,023.20x = 160,534.80 × 100,024.80
  4. Step 4: Simplify right side
    107,023.20x = 16,057,461,263.04
  5. Step 5: Solve for x
    x = 16,057,461,263.04/107,023.20
  6. Step 6: Final answer
    x = 150,037.20

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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.