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Finding the Fourth Proportional to 270,752.22, 406,501.02 and 137,722.50

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Solution

The fourth proportional to 270,752.22, 406,501.02 and 137,722.50 is: 206,773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,752.22 : 406,501.02 = 137,722.50 : x
  2. Step 2: Convert to fraction form
    270,752.22/406,501.02 = 137,722.50/x
  3. Step 3: Cross multiply
    270,752.22x = 406,501.02 × 137,722.50
  4. Step 4: Simplify right side
    270,752.22x = 55,984,336,726.95
  5. Step 5: Solve for x
    x = 55,984,336,726.95/270,752.22
  6. Step 6: Final answer
    x = 206,773.32

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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.