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Finding the Fourth Proportional to 147,067.20, 220,658.40 and 53,582.40

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Solution

The fourth proportional to 147,067.20, 220,658.40 and 53,582.40 is: 80,394.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,067.20 : 220,658.40 = 53,582.40 : x
  2. Step 2: Convert to fraction form
    147,067.20/220,658.40 = 53,582.40/x
  3. Step 3: Cross multiply
    147,067.20x = 220,658.40 × 53,582.40
  4. Step 4: Simplify right side
    147,067.20x = 11,823,406,652.16
  5. Step 5: Solve for x
    x = 11,823,406,652.16/147,067.20
  6. Step 6: Final answer
    x = 80,394.59

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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.