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Finding the Fourth Proportional to 288,857.34, 433,327.52 and 89,193.15

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Solution

The fourth proportional to 288,857.34, 433,327.52 and 89,193.15 is: 133,802.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,857.34 : 433,327.52 = 89,193.15 : x
  2. Step 2: Convert to fraction form
    288,857.34/433,327.52 = 89,193.15/x
  3. Step 3: Cross multiply
    288,857.34x = 433,327.52 × 89,193.15
  4. Step 4: Simplify right side
    288,857.34x = 38,649,846,713.47
  5. Step 5: Solve for x
    x = 38,649,846,713.47/288,857.34
  6. Step 6: Final answer
    x = 133,802.54

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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.