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Finding the Fourth Proportional to 139,743.80, 209,596.80 and 55,565.90

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Solution

The fourth proportional to 139,743.80, 209,596.80 and 55,565.90 is: 83,341.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,743.80 : 209,596.80 = 55,565.90 : x
  2. Step 2: Convert to fraction form
    139,743.80/209,596.80 = 55,565.90/x
  3. Step 3: Cross multiply
    139,743.80x = 209,596.80 × 55,565.90
  4. Step 4: Simplify right side
    139,743.80x = 11,646,434,829.12
  5. Step 5: Solve for x
    x = 11,646,434,829.12/139,743.80
  6. Step 6: Final answer
    x = 83,341.33

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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.