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Finding the Fourth Proportional to 209,724.40, 289,433.28 and 124,829.92

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Solution

The fourth proportional to 209,724.40, 289,433.28 and 124,829.92 is: 172,273.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,724.40 : 289,433.28 = 124,829.92 : x
  2. Step 2: Convert to fraction form
    209,724.40/289,433.28 = 124,829.92/x
  3. Step 3: Cross multiply
    209,724.40x = 289,433.28 × 124,829.92
  4. Step 4: Simplify right side
    209,724.40x = 36,129,933,187.74
  5. Step 5: Solve for x
    x = 36,129,933,187.74/209,724.40
  6. Step 6: Final answer
    x = 172,273.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.