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Finding the Fourth Proportional to 219,709.60, 329,564.40 and 86,594.20

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Solution

The fourth proportional to 219,709.60, 329,564.40 and 86,594.20 is: 129,891.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,709.60 : 329,564.40 = 86,594.20 : x
  2. Step 2: Convert to fraction form
    219,709.60/329,564.40 = 86,594.20/x
  3. Step 3: Cross multiply
    219,709.60x = 329,564.40 × 86,594.20
  4. Step 4: Simplify right side
    219,709.60x = 28,538,365,566.48
  5. Step 5: Solve for x
    x = 28,538,365,566.48/219,709.60
  6. Step 6: Final answer
    x = 129,891.30

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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.