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Finding the Fourth Proportional to 288,758.32, 433,184.20 and 89,032

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Solution

The fourth proportional to 288,758.32, 433,184.20 and 89,032 is: 133,562.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,758.32 : 433,184.20 = 89,032 : x
  2. Step 2: Convert to fraction form
    288,758.32/433,184.20 = 89,032/x
  3. Step 3: Cross multiply
    288,758.32x = 433,184.20 × 89,032
  4. Step 4: Simplify right side
    288,758.32x = 38,567,255,694.40
  5. Step 5: Solve for x
    x = 38,567,255,694.40/288,758.32
  6. Step 6: Final answer
    x = 133,562.41

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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.