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Finding the Fourth Proportional to 139,711.80, 209,567.70 and 83,724.60

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Solution

The fourth proportional to 139,711.80, 209,567.70 and 83,724.60 is: 125,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,711.80 : 209,567.70 = 83,724.60 : x
  2. Step 2: Convert to fraction form
    139,711.80/209,567.70 = 83,724.60/x
  3. Step 3: Cross multiply
    139,711.80x = 209,567.70 × 83,724.60
  4. Step 4: Simplify right side
    139,711.80x = 17,545,971,855.42
  5. Step 5: Solve for x
    x = 17,545,971,855.42/139,711.80
  6. Step 6: Final answer
    x = 125,586.90

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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.