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Finding the Fourth Proportional to 101,824.86, 152,751.17 and 59,150.34

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Solution

The fourth proportional to 101,824.86, 152,751.17 and 59,150.34 is: 88,733.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,824.86 : 152,751.17 = 59,150.34 : x
  2. Step 2: Convert to fraction form
    101,824.86/152,751.17 = 59,150.34/x
  3. Step 3: Cross multiply
    101,824.86x = 152,751.17 × 59,150.34
  4. Step 4: Simplify right side
    101,824.86x = 9,035,283,640.90
  5. Step 5: Solve for x
    x = 9,035,283,640.90/101,824.86
  6. Step 6: Final answer
    x = 88,733.57

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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.