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Finding the Fourth Proportional to 107,465.70, 160,979.85 and 54,904.80

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Solution

The fourth proportional to 107,465.70, 160,979.85 and 54,904.80 is: 82,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,465.70 : 160,979.85 = 54,904.80 : x
  2. Step 2: Convert to fraction form
    107,465.70/160,979.85 = 54,904.80/x
  3. Step 3: Cross multiply
    107,465.70x = 160,979.85 × 54,904.80
  4. Step 4: Simplify right side
    107,465.70x = 8,838,566,468.28
  5. Step 5: Solve for x
    x = 8,838,566,468.28/107,465.70
  6. Step 6: Final answer
    x = 82,245.47

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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.