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Finding the Fourth Proportional to 288,859.24, 433,300.38 and 89,161.96

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Solution

The fourth proportional to 288,859.24, 433,300.38 and 89,161.96 is: 133,746.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,859.24 : 433,300.38 = 89,161.96 : x
  2. Step 2: Convert to fraction form
    288,859.24/433,300.38 = 89,161.96/x
  3. Step 3: Cross multiply
    288,859.24x = 433,300.38 × 89,161.96
  4. Step 4: Simplify right side
    288,859.24x = 38,633,911,149.54
  5. Step 5: Solve for x
    x = 38,633,911,149.54/288,859.24
  6. Step 6: Final answer
    x = 133,746.50

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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.