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Finding the Fourth Proportional to 137,729.90, 206,200.65 and 84,782.90

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Solution

The fourth proportional to 137,729.90, 206,200.65 and 84,782.90 is: 126,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,729.90 : 206,200.65 = 84,782.90 : x
  2. Step 2: Convert to fraction form
    137,729.90/206,200.65 = 84,782.90/x
  3. Step 3: Cross multiply
    137,729.90x = 206,200.65 × 84,782.90
  4. Step 4: Simplify right side
    137,729.90x = 17,482,289,088.89
  5. Step 5: Solve for x
    x = 17,482,289,088.89/137,729.90
  6. Step 6: Final answer
    x = 126,931.69

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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.