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Finding the Fourth Proportional to 233,061.32, 349,340.81 and 112,863.80

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Solution

The fourth proportional to 233,061.32, 349,340.81 and 112,863.80 is: 169,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,061.32 : 349,340.81 = 112,863.80 : x
  2. Step 2: Convert to fraction form
    233,061.32/349,340.81 = 112,863.80/x
  3. Step 3: Cross multiply
    233,061.32x = 349,340.81 × 112,863.80
  4. Step 4: Simplify right side
    233,061.32x = 39,427,929,000.66
  5. Step 5: Solve for x
    x = 39,427,929,000.66/233,061.32
  6. Step 6: Final answer
    x = 169,174.06

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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.