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Finding the Fourth Proportional to 289,149.34, 433,745.92 and 89,489.92

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Solution

The fourth proportional to 289,149.34, 433,745.92 and 89,489.92 is: 134,241.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,149.34 : 433,745.92 = 89,489.92 : x
  2. Step 2: Convert to fraction form
    289,149.34/433,745.92 = 89,489.92/x
  3. Step 3: Cross multiply
    289,149.34x = 433,745.92 × 89,489.92
  4. Step 4: Simplify right side
    289,149.34x = 38,815,887,681.13
  5. Step 5: Solve for x
    x = 38,815,887,681.13/289,149.34
  6. Step 6: Final answer
    x = 134,241.66

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1.5x scale

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.