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Finding the Fourth Proportional to 219,930.40, 329,830.80 and 86,766.40

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Solution

The fourth proportional to 219,930.40, 329,830.80 and 86,766.40 is: 130,124.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,930.40 : 329,830.80 = 86,766.40 : x
  2. Step 2: Convert to fraction form
    219,930.40/329,830.80 = 86,766.40/x
  3. Step 3: Cross multiply
    219,930.40x = 329,830.80 × 86,766.40
  4. Step 4: Simplify right side
    219,930.40x = 28,618,231,125.12
  5. Step 5: Solve for x
    x = 28,618,231,125.12/219,930.40
  6. Step 6: Final answer
    x = 130,124.04

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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.