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Finding the Fourth Proportional to 148,908.80, 223,363.20 and 106,918.40

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Solution

The fourth proportional to 148,908.80, 223,363.20 and 106,918.40 is: 160,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,908.80 : 223,363.20 = 106,918.40 : x
  2. Step 2: Convert to fraction form
    148,908.80/223,363.20 = 106,918.40/x
  3. Step 3: Cross multiply
    148,908.80x = 223,363.20 × 106,918.40
  4. Step 4: Simplify right side
    148,908.80x = 23,881,635,962.88
  5. Step 5: Solve for x
    x = 23,881,635,962.88/148,908.80
  6. Step 6: Final answer
    x = 160,377.60

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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.