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Finding the Fourth Proportional to 217,032.80, 325,597.80 and 83,901.20

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Solution

The fourth proportional to 217,032.80, 325,597.80 and 83,901.20 is: 125,870.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,032.80 : 325,597.80 = 83,901.20 : x
  2. Step 2: Convert to fraction form
    217,032.80/325,597.80 = 83,901.20/x
  3. Step 3: Cross multiply
    217,032.80x = 325,597.80 × 83,901.20
  4. Step 4: Simplify right side
    217,032.80x = 27,318,046,137.36
  5. Step 5: Solve for x
    x = 27,318,046,137.36/217,032.80
  6. Step 6: Final answer
    x = 125,870.59

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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.