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Finding the Fourth Proportional to 100,859.86, 151,254.49 and 29,763.63

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Solution

The fourth proportional to 100,859.86, 151,254.49 and 29,763.63 is: 44,635.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,859.86 : 151,254.49 = 29,763.63 : x
  2. Step 2: Convert to fraction form
    100,859.86/151,254.49 = 29,763.63/x
  3. Step 3: Cross multiply
    100,859.86x = 151,254.49 × 29,763.63
  4. Step 4: Simplify right side
    100,859.86x = 4,501,882,232.19
  5. Step 5: Solve for x
    x = 4,501,882,232.19/100,859.86
  6. Step 6: Final answer
    x = 44,635.02

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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.