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Finding the Fourth Proportional to 207,838.60, 311,849.70 and 101,163.40

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Solution

The fourth proportional to 207,838.60, 311,849.70 and 101,163.40 is: 151,789.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,838.60 : 311,849.70 = 101,163.40 : x
  2. Step 2: Convert to fraction form
    207,838.60/311,849.70 = 101,163.40/x
  3. Step 3: Cross multiply
    207,838.60x = 311,849.70 × 101,163.40
  4. Step 4: Simplify right side
    207,838.60x = 31,547,775,940.98
  5. Step 5: Solve for x
    x = 31,547,775,940.98/207,838.60
  6. Step 6: Final answer
    x = 151,789.78

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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.