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Finding the Fourth Proportional to 207,732.94, 311,474.76 and 95,272.24

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Solution

The fourth proportional to 207,732.94, 311,474.76 and 95,272.24 is: 142,851.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,732.94 : 311,474.76 = 95,272.24 : x
  2. Step 2: Convert to fraction form
    207,732.94/311,474.76 = 95,272.24/x
  3. Step 3: Cross multiply
    207,732.94x = 311,474.76 × 95,272.24
  4. Step 4: Simplify right side
    207,732.94x = 29,674,898,088.66
  5. Step 5: Solve for x
    x = 29,674,898,088.66/207,732.94
  6. Step 6: Final answer
    x = 142,851.19

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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.