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Finding the Fourth Proportional to 107,158.40, 160,736.80 and 32,278.24

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Solution

The fourth proportional to 107,158.40, 160,736.80 and 32,278.24 is: 48,417.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,158.40 : 160,736.80 = 32,278.24 : x
  2. Step 2: Convert to fraction form
    107,158.40/160,736.80 = 32,278.24/x
  3. Step 3: Cross multiply
    107,158.40x = 160,736.80 × 32,278.24
  4. Step 4: Simplify right side
    107,158.40x = 5,188,301,007.23
  5. Step 5: Solve for x
    x = 5,188,301,007.23/107,158.40
  6. Step 6: Final answer
    x = 48,417.12

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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.