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Finding the Fourth Proportional to 207,491.82, 310,738.74 and 118,475.52

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Solution

The fourth proportional to 207,491.82, 310,738.74 and 118,475.52 is: 177,428.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,491.82 : 310,738.74 = 118,475.52 : x
  2. Step 2: Convert to fraction form
    207,491.82/310,738.74 = 118,475.52/x
  3. Step 3: Cross multiply
    207,491.82x = 310,738.74 × 118,475.52
  4. Step 4: Simplify right side
    207,491.82x = 36,814,933,805.64
  5. Step 5: Solve for x
    x = 36,814,933,805.64/207,491.82
  6. Step 6: Final answer
    x = 177,428.36

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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.