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Finding the Fourth Proportional to 288,764.80, 433,196.40 and 89,081.44

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Solution

The fourth proportional to 288,764.80, 433,196.40 and 89,081.44 is: 133,637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,764.80 : 433,196.40 = 89,081.44 : x
  2. Step 2: Convert to fraction form
    288,764.80/433,196.40 = 89,081.44/x
  3. Step 3: Cross multiply
    288,764.80x = 433,196.40 × 89,081.44
  4. Step 4: Simplify right side
    288,764.80x = 38,589,759,114.82
  5. Step 5: Solve for x
    x = 38,589,759,114.82/288,764.80
  6. Step 6: Final answer
    x = 133,637.34

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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.