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Finding the Fourth Proportional to 274,110.12, 411,320.70 and 108,014.76

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Solution

The fourth proportional to 274,110.12, 411,320.70 and 108,014.76 is: 162,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,110.12 : 411,320.70 = 108,014.76 : x
  2. Step 2: Convert to fraction form
    274,110.12/411,320.70 = 108,014.76/x
  3. Step 3: Cross multiply
    274,110.12x = 411,320.70 × 108,014.76
  4. Step 4: Simplify right side
    274,110.12x = 44,428,706,693.53
  5. Step 5: Solve for x
    x = 44,428,706,693.53/274,110.12
  6. Step 6: Final answer
    x = 162,083.42

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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.