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Finding the Fourth Proportional to 289,605.20, 434,062.20 and 121,125.20

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Solution

The fourth proportional to 289,605.20, 434,062.20 and 121,125.20 is: 181,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,605.20 : 434,062.20 = 121,125.20 : x
  2. Step 2: Convert to fraction form
    289,605.20/434,062.20 = 121,125.20/x
  3. Step 3: Cross multiply
    289,605.20x = 434,062.20 × 121,125.20
  4. Step 4: Simplify right side
    289,605.20x = 52,575,870,787.44
  5. Step 5: Solve for x
    x = 52,575,870,787.44/289,605.20
  6. Step 6: Final answer
    x = 181,543.26

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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.