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Finding the Fourth Proportional to 296,114.89, 408,638.54 and 160,148.83

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Solution

The fourth proportional to 296,114.89, 408,638.54 and 160,148.83 is: 221,005.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,114.89 : 408,638.54 = 160,148.83 : x
  2. Step 2: Convert to fraction form
    296,114.89/408,638.54 = 160,148.83/x
  3. Step 3: Cross multiply
    296,114.89x = 408,638.54 × 160,148.83
  4. Step 4: Simplify right side
    296,114.89x = 65,442,984,073.91
  5. Step 5: Solve for x
    x = 65,442,984,073.91/296,114.89
  6. Step 6: Final answer
    x = 221,005.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.