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Finding the Fourth Proportional to 113,113.49, 169,678.13 and 34,233.66

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Solution

The fourth proportional to 113,113.49, 169,678.13 and 34,233.66 is: 51,352.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,113.49 : 169,678.13 = 34,233.66 : x
  2. Step 2: Convert to fraction form
    113,113.49/169,678.13 = 34,233.66/x
  3. Step 3: Cross multiply
    113,113.49x = 169,678.13 × 34,233.66
  4. Step 4: Simplify right side
    113,113.49x = 5,808,703,240.69
  5. Step 5: Solve for x
    x = 5,808,703,240.69/113,113.49
  6. Step 6: Final answer
    x = 51,352.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.