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Finding the Fourth Proportional to 148,545.92, 205,021.68 and 116,216.12

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Solution

The fourth proportional to 148,545.92, 205,021.68 and 116,216.12 is: 160,400.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,545.92 : 205,021.68 = 116,216.12 : x
  2. Step 2: Convert to fraction form
    148,545.92/205,021.68 = 116,216.12/x
  3. Step 3: Cross multiply
    148,545.92x = 205,021.68 × 116,216.12
  4. Step 4: Simplify right side
    148,545.92x = 23,826,824,165.48
  5. Step 5: Solve for x
    x = 23,826,824,165.48/148,545.92
  6. Step 6: Final answer
    x = 160,400.39

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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.