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Finding the Fourth Proportional to 289,233.20, 433,720.20 and 111,681.20

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Solution

The fourth proportional to 289,233.20, 433,720.20 and 111,681.20 is: 167,471.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,233.20 : 433,720.20 = 111,681.20 : x
  2. Step 2: Convert to fraction form
    289,233.20/433,720.20 = 111,681.20/x
  3. Step 3: Cross multiply
    289,233.20x = 433,720.20 × 111,681.20
  4. Step 4: Simplify right side
    289,233.20x = 48,438,392,400.24
  5. Step 5: Solve for x
    x = 48,438,392,400.24/289,233.20
  6. Step 6: Final answer
    x = 167,471.76

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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.