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Finding the Fourth Proportional to 311,510.23, 466,954.79 and 131,641.02

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Solution

The fourth proportional to 311,510.23, 466,954.79 and 131,641.02 is: 197,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,510.23 : 466,954.79 = 131,641.02 : x
  2. Step 2: Convert to fraction form
    311,510.23/466,954.79 = 131,641.02/x
  3. Step 3: Cross multiply
    311,510.23x = 466,954.79 × 131,641.02
  4. Step 4: Simplify right side
    311,510.23x = 61,470,404,849.49
  5. Step 5: Solve for x
    x = 61,470,404,849.49/311,510.23
  6. Step 6: Final answer
    x = 197,330.29

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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.