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Finding the Fourth Proportional to 209,572.76, 289,165.56 and 124,673.24

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Solution

The fourth proportional to 209,572.76, 289,165.56 and 124,673.24 is: 172,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,572.76 : 289,165.56 = 124,673.24 : x
  2. Step 2: Convert to fraction form
    209,572.76/289,165.56 = 124,673.24/x
  3. Step 3: Cross multiply
    209,572.76x = 289,165.56 × 124,673.24
  4. Step 4: Simplify right side
    209,572.76x = 36,051,207,261.61
  5. Step 5: Solve for x
    x = 36,051,207,261.61/209,572.76
  6. Step 6: Final answer
    x = 172,022.39

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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.