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Finding the Fourth Proportional to 218,293.02, 327,308.31 and 83,365.92

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Solution

The fourth proportional to 218,293.02, 327,308.31 and 83,365.92 is: 124,998.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,293.02 : 327,308.31 = 83,365.92 : x
  2. Step 2: Convert to fraction form
    218,293.02/327,308.31 = 83,365.92/x
  3. Step 3: Cross multiply
    218,293.02x = 327,308.31 × 83,365.92
  4. Step 4: Simplify right side
    218,293.02x = 27,286,358,386.80
  5. Step 5: Solve for x
    x = 27,286,358,386.80/218,293.02
  6. Step 6: Final answer
    x = 124,998.77

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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.