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Finding the Fourth Proportional to 289,108.80, 433,704.51 and 89,446.23

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Solution

The fourth proportional to 289,108.80, 433,704.51 and 89,446.23 is: 134,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,108.80 : 433,704.51 = 89,446.23 : x
  2. Step 2: Convert to fraction form
    289,108.80/433,704.51 = 89,446.23/x
  3. Step 3: Cross multiply
    289,108.80x = 433,704.51 × 89,446.23
  4. Step 4: Simplify right side
    289,108.80x = 38,793,233,353.50
  5. Step 5: Solve for x
    x = 38,793,233,353.50/289,108.80
  6. Step 6: Final answer
    x = 134,182.13

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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.