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Finding the Fourth Proportional to 148,951.58, 205,355.66 and 123,363.68

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Solution

The fourth proportional to 148,951.58, 205,355.66 and 123,363.68 is: 170,078.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,951.58 : 205,355.66 = 123,363.68 : x
  2. Step 2: Convert to fraction form
    148,951.58/205,355.66 = 123,363.68/x
  3. Step 3: Cross multiply
    148,951.58x = 205,355.66 × 123,363.68
  4. Step 4: Simplify right side
    148,951.58x = 25,333,428,282.83
  5. Step 5: Solve for x
    x = 25,333,428,282.83/148,951.58
  6. Step 6: Final answer
    x = 170,078.28

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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.