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Finding the Fourth Proportional to 101,838.26, 152,737.61 and 51,223.79

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Solution

The fourth proportional to 101,838.26, 152,737.61 and 51,223.79 is: 76,825.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,838.26 : 152,737.61 = 51,223.79 : x
  2. Step 2: Convert to fraction form
    101,838.26/152,737.61 = 51,223.79/x
  3. Step 3: Cross multiply
    101,838.26x = 152,737.61 × 51,223.79
  4. Step 4: Simplify right side
    101,838.26x = 7,823,799,259.74
  5. Step 5: Solve for x
    x = 7,823,799,259.74/101,838.26
  6. Step 6: Final answer
    x = 76,825.74

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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.