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Finding the Fourth Proportional to 217,006.80, 325,558.80 and 83,875.20

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Solution

The fourth proportional to 217,006.80, 325,558.80 and 83,875.20 is: 125,831.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,006.80 : 325,558.80 = 83,875.20 : x
  2. Step 2: Convert to fraction form
    217,006.80/325,558.80 = 83,875.20/x
  3. Step 3: Cross multiply
    217,006.80x = 325,558.80 × 83,875.20
  4. Step 4: Simplify right side
    217,006.80x = 27,306,309,461.76
  5. Step 5: Solve for x
    x = 27,306,309,461.76/217,006.80
  6. Step 6: Final answer
    x = 125,831.58

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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.