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Finding the Fourth Proportional to 121,027.60, 181,411.80 and 54,456.40

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Solution

The fourth proportional to 121,027.60, 181,411.80 and 54,456.40 is: 81,626.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,027.60 : 181,411.80 = 54,456.40 : x
  2. Step 2: Convert to fraction form
    121,027.60/181,411.80 = 54,456.40/x
  3. Step 3: Cross multiply
    121,027.60x = 181,411.80 × 54,456.40
  4. Step 4: Simplify right side
    121,027.60x = 9,879,033,545.52
  5. Step 5: Solve for x
    x = 9,879,033,545.52/121,027.60
  6. Step 6: Final answer
    x = 81,626.29

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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.