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Finding the Fourth Proportional to 285,308.92, 428,096.22 and 127,644.04

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Solution

The fourth proportional to 285,308.92, 428,096.22 and 127,644.04 is: 191,525.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,308.92 : 428,096.22 = 127,644.04 : x
  2. Step 2: Convert to fraction form
    285,308.92/428,096.22 = 127,644.04/x
  3. Step 3: Cross multiply
    285,308.92x = 428,096.22 × 127,644.04
  4. Step 4: Simplify right side
    285,308.92x = 54,643,931,029.53
  5. Step 5: Solve for x
    x = 54,643,931,029.53/285,308.92
  6. Step 6: Final answer
    x = 191,525.49

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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.