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Finding the Fourth Proportional to 288,738.60, 433,117.80 and 89,057.40

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Solution

The fourth proportional to 288,738.60, 433,117.80 and 89,057.40 is: 133,589.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,738.60 : 433,117.80 = 89,057.40 : x
  2. Step 2: Convert to fraction form
    288,738.60/433,117.80 = 89,057.40/x
  3. Step 3: Cross multiply
    288,738.60x = 433,117.80 × 89,057.40
  4. Step 4: Simplify right side
    288,738.60x = 38,572,345,161.72
  5. Step 5: Solve for x
    x = 38,572,345,161.72/288,738.60
  6. Step 6: Final answer
    x = 133,589.15

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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.