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Finding the Fourth Proportional to 219,713.10, 329,569.65 and 86,597.70

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Solution

The fourth proportional to 219,713.10, 329,569.65 and 86,597.70 is: 129,896.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,713.10 : 329,569.65 = 86,597.70 : x
  2. Step 2: Convert to fraction form
    219,713.10/329,569.65 = 86,597.70/x
  3. Step 3: Cross multiply
    219,713.10x = 329,569.65 × 86,597.70
  4. Step 4: Simplify right side
    219,713.10x = 28,539,973,679.81
  5. Step 5: Solve for x
    x = 28,539,973,679.81/219,713.10
  6. Step 6: Final answer
    x = 129,896.55

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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.