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Finding the Fourth Proportional to 107,218.68, 160,880.42 and 75,830.45

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Solution

The fourth proportional to 107,218.68, 160,880.42 and 75,830.45 is: 113,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,218.68 : 160,880.42 = 75,830.45 : x
  2. Step 2: Convert to fraction form
    107,218.68/160,880.42 = 75,830.45/x
  3. Step 3: Cross multiply
    107,218.68x = 160,880.42 × 75,830.45
  4. Step 4: Simplify right side
    107,218.68x = 12,199,634,348.90
  5. Step 5: Solve for x
    x = 12,199,634,348.90/107,218.68
  6. Step 6: Final answer
    x = 113,782.73

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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.