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Finding the Fourth Proportional to 307,232.92, 460,927.14 and 129,648.52

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Solution

The fourth proportional to 307,232.92, 460,927.14 and 129,648.52 is: 194,505.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,232.92 : 460,927.14 = 129,648.52 : x
  2. Step 2: Convert to fraction form
    307,232.92/460,927.14 = 129,648.52/x
  3. Step 3: Cross multiply
    307,232.92x = 460,927.14 × 129,648.52
  4. Step 4: Simplify right side
    307,232.92x = 59,758,521,528.83
  5. Step 5: Solve for x
    x = 59,758,521,528.83/307,232.92
  6. Step 6: Final answer
    x = 194,505.59

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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.