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Finding the Fourth Proportional to 550,209.18, 825,041.52 and 195,169.98

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Solution

The fourth proportional to 550,209.18, 825,041.52 and 195,169.98 is: 292,658.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,209.18 : 825,041.52 = 195,169.98 : x
  2. Step 2: Convert to fraction form
    550,209.18/825,041.52 = 195,169.98/x
  3. Step 3: Cross multiply
    550,209.18x = 825,041.52 × 195,169.98
  4. Step 4: Simplify right side
    550,209.18x = 161,023,336,957.57
  5. Step 5: Solve for x
    x = 161,023,336,957.57/550,209.18
  6. Step 6: Final answer
    x = 292,658.40

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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.