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Finding the Fourth Proportional to 307,713.66, 461,255.13 and 118,122.90

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Solution

The fourth proportional to 307,713.66, 461,255.13 and 118,122.90 is: 177,063.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,713.66 : 461,255.13 = 118,122.90 : x
  2. Step 2: Convert to fraction form
    307,713.66/461,255.13 = 118,122.90/x
  3. Step 3: Cross multiply
    307,713.66x = 461,255.13 × 118,122.90
  4. Step 4: Simplify right side
    307,713.66x = 54,484,793,595.48
  5. Step 5: Solve for x
    x = 54,484,793,595.48/307,713.66
  6. Step 6: Final answer
    x = 177,063.29

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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.