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Finding the Fourth Proportional to 219,833.40, 329,685.30 and 86,669.40

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Solution

The fourth proportional to 219,833.40, 329,685.30 and 86,669.40 is: 129,978.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,833.40 : 329,685.30 = 86,669.40 : x
  2. Step 2: Convert to fraction form
    219,833.40/329,685.30 = 86,669.40/x
  3. Step 3: Cross multiply
    219,833.40x = 329,685.30 × 86,669.40
  4. Step 4: Simplify right side
    219,833.40x = 28,573,627,139.82
  5. Step 5: Solve for x
    x = 28,573,627,139.82/219,833.40
  6. Step 6: Final answer
    x = 129,978.55

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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.