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Finding the Fourth Proportional to 291,096.72, 435,832.24 and 157,497.76

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Solution

The fourth proportional to 291,096.72, 435,832.24 and 157,497.76 is: 235,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,096.72 : 435,832.24 = 157,497.76 : x
  2. Step 2: Convert to fraction form
    291,096.72/435,832.24 = 157,497.76/x
  3. Step 3: Cross multiply
    291,096.72x = 435,832.24 × 157,497.76
  4. Step 4: Simplify right side
    291,096.72x = 68,642,601,535.78
  5. Step 5: Solve for x
    x = 68,642,601,535.78/291,096.72
  6. Step 6: Final answer
    x = 235,806.85

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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.