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Finding the Fourth Proportional to 106,891.68, 160,365.19 and 40,332.39

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Solution

The fourth proportional to 106,891.68, 160,365.19 and 40,332.39 is: 60,509.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,891.68 : 160,365.19 = 40,332.39 : x
  2. Step 2: Convert to fraction form
    106,891.68/160,365.19 = 40,332.39/x
  3. Step 3: Cross multiply
    106,891.68x = 160,365.19 × 40,332.39
  4. Step 4: Simplify right side
    106,891.68x = 6,467,911,385.50
  5. Step 5: Solve for x
    x = 6,467,911,385.50/106,891.68
  6. Step 6: Final answer
    x = 60,509.03

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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.