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Finding the Fourth Proportional to 288,796.56, 433,207.13 and 89,112.53

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Solution

The fourth proportional to 288,796.56, 433,207.13 and 89,112.53 is: 133,672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,796.56 : 433,207.13 = 89,112.53 : x
  2. Step 2: Convert to fraction form
    288,796.56/433,207.13 = 89,112.53/x
  3. Step 3: Cross multiply
    288,796.56x = 433,207.13 × 89,112.53
  4. Step 4: Simplify right side
    288,796.56x = 38,604,180,756.74
  5. Step 5: Solve for x
    x = 38,604,180,756.74/288,796.56
  6. Step 6: Final answer
    x = 133,672.58

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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.