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Finding the Fourth Proportional to 307,233.42, 460,927.89 and 129,649.02

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Solution

The fourth proportional to 307,233.42, 460,927.89 and 129,649.02 is: 194,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,233.42 : 460,927.89 = 129,649.02 : x
  2. Step 2: Convert to fraction form
    307,233.42/460,927.89 = 129,649.02/x
  3. Step 3: Cross multiply
    307,233.42x = 460,927.89 × 129,649.02
  4. Step 4: Simplify right side
    307,233.42x = 59,758,849,229.17
  5. Step 5: Solve for x
    x = 59,758,849,229.17/307,233.42
  6. Step 6: Final answer
    x = 194,506.34

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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.