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Finding the Fourth Proportional to 106,891.80, 160,337.70 and 89,525.40

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Solution

The fourth proportional to 106,891.80, 160,337.70 and 89,525.40 is: 134,288.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,891.80 : 160,337.70 = 89,525.40 : x
  2. Step 2: Convert to fraction form
    106,891.80/160,337.70 = 89,525.40/x
  3. Step 3: Cross multiply
    106,891.80x = 160,337.70 × 89,525.40
  4. Step 4: Simplify right side
    106,891.80x = 14,354,296,727.58
  5. Step 5: Solve for x
    x = 14,354,296,727.58/106,891.80
  6. Step 6: Final answer
    x = 134,288.10

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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.