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Finding the Fourth Proportional to 139,869.96, 209,987.84 and 83,047.58

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Solution

The fourth proportional to 139,869.96, 209,987.84 and 83,047.58 is: 124,679.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,869.96 : 209,987.84 = 83,047.58 : x
  2. Step 2: Convert to fraction form
    139,869.96/209,987.84 = 83,047.58/x
  3. Step 3: Cross multiply
    139,869.96x = 209,987.84 × 83,047.58
  4. Step 4: Simplify right side
    139,869.96x = 17,438,981,941.43
  5. Step 5: Solve for x
    x = 17,438,981,941.43/139,869.96
  6. Step 6: Final answer
    x = 124,679.97

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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.