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Finding the Fourth Proportional to 137,060.20, 205,590.30 and 48,284.20

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Solution

The fourth proportional to 137,060.20, 205,590.30 and 48,284.20 is: 72,426.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,060.20 : 205,590.30 = 48,284.20 : x
  2. Step 2: Convert to fraction form
    137,060.20/205,590.30 = 48,284.20/x
  3. Step 3: Cross multiply
    137,060.20x = 205,590.30 × 48,284.20
  4. Step 4: Simplify right side
    137,060.20x = 9,926,763,163.26
  5. Step 5: Solve for x
    x = 9,926,763,163.26/137,060.20
  6. Step 6: Final answer
    x = 72,426.30

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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.