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Finding the Fourth Proportional to 207,404.70, 311,435.10 and 157,541.10

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Solution

The fourth proportional to 207,404.70, 311,435.10 and 157,541.10 is: 236,560.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,404.70 : 311,435.10 = 157,541.10 : x
  2. Step 2: Convert to fraction form
    207,404.70/311,435.10 = 157,541.10/x
  3. Step 3: Cross multiply
    207,404.70x = 311,435.10 × 157,541.10
  4. Step 4: Simplify right side
    207,404.70x = 49,063,828,232.61
  5. Step 5: Solve for x
    x = 49,063,828,232.61/207,404.70
  6. Step 6: Final answer
    x = 236,560.83

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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.