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Finding the Fourth Proportional to 219,732.13, 329,489.15 and 69,952.90

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Solution

The fourth proportional to 219,732.13, 329,489.15 and 69,952.90 is: 104,894.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,732.13 : 329,489.15 = 69,952.90 : x
  2. Step 2: Convert to fraction form
    219,732.13/329,489.15 = 69,952.90/x
  3. Step 3: Cross multiply
    219,732.13x = 329,489.15 × 69,952.90
  4. Step 4: Simplify right side
    219,732.13x = 23,048,721,561.04
  5. Step 5: Solve for x
    x = 23,048,721,561.04/219,732.13
  6. Step 6: Final answer
    x = 104,894.63

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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.