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Finding the Fourth Proportional to 148,582.10, 205,042.10 and 80,598.90

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Solution

The fourth proportional to 148,582.10, 205,042.10 and 80,598.90 is: 111,225.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,582.10 : 205,042.10 = 80,598.90 : x
  2. Step 2: Convert to fraction form
    148,582.10/205,042.10 = 80,598.90/x
  3. Step 3: Cross multiply
    148,582.10x = 205,042.10 × 80,598.90
  4. Step 4: Simplify right side
    148,582.10x = 16,526,167,713.69
  5. Step 5: Solve for x
    x = 16,526,167,713.69/148,582.10
  6. Step 6: Final answer
    x = 111,225.83

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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.