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Finding the Fourth Proportional to 288,767.91, 433,225.68 and 111,227.25

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Solution

The fourth proportional to 288,767.91, 433,225.68 and 111,227.25 is: 166,869.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,767.91 : 433,225.68 = 111,227.25 : x
  2. Step 2: Convert to fraction form
    288,767.91/433,225.68 = 111,227.25/x
  3. Step 3: Cross multiply
    288,767.91x = 433,225.68 × 111,227.25
  4. Step 4: Simplify right side
    288,767.91x = 48,186,501,015.78
  5. Step 5: Solve for x
    x = 48,186,501,015.78/288,767.91
  6. Step 6: Final answer
    x = 166,869.31

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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.