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Finding the Fourth Proportional to 219,762.13, 329,534.15 and 69,982.90

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Solution

The fourth proportional to 219,762.13, 329,534.15 and 69,982.90 is: 104,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,762.13 : 329,534.15 = 69,982.90 : x
  2. Step 2: Convert to fraction form
    219,762.13/329,534.15 = 69,982.90/x
  3. Step 3: Cross multiply
    219,762.13x = 329,534.15 × 69,982.90
  4. Step 4: Simplify right side
    219,762.13x = 23,061,755,466.04
  5. Step 5: Solve for x
    x = 23,061,755,466.04/219,762.13
  6. Step 6: Final answer
    x = 104,939.62

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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.