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Finding the Fourth Proportional to 107,145.99, 160,703.19 and 28,265.76

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Solution

The fourth proportional to 107,145.99, 160,703.19 and 28,265.76 is: 42,394.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,145.99 : 160,703.19 = 28,265.76 : x
  2. Step 2: Convert to fraction form
    107,145.99/160,703.19 = 28,265.76/x
  3. Step 3: Cross multiply
    107,145.99x = 160,703.19 × 28,265.76
  4. Step 4: Simplify right side
    107,145.99x = 4,542,397,799.77
  5. Step 5: Solve for x
    x = 4,542,397,799.77/107,145.99
  6. Step 6: Final answer
    x = 42,394.47

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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.