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Finding the Fourth Proportional to 219,760.70, 329,416.88 and 86,586.98

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Solution

The fourth proportional to 219,760.70, 329,416.88 and 86,586.98 is: 129,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,760.70 : 329,416.88 = 86,586.98 : x
  2. Step 2: Convert to fraction form
    219,760.70/329,416.88 = 86,586.98/x
  3. Step 3: Cross multiply
    219,760.70x = 329,416.88 × 86,586.98
  4. Step 4: Simplify right side
    219,760.70x = 28,523,210,720.20
  5. Step 5: Solve for x
    x = 28,523,210,720.20/219,760.70
  6. Step 6: Final answer
    x = 129,792.14

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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.