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Finding the Fourth Proportional to 272,678.24, 408,820.52 and 114,820.56

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Solution

The fourth proportional to 272,678.24, 408,820.52 and 114,820.56 is: 172,147.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,678.24 : 408,820.52 = 114,820.56 : x
  2. Step 2: Convert to fraction form
    272,678.24/408,820.52 = 114,820.56/x
  3. Step 3: Cross multiply
    272,678.24x = 408,820.52 × 114,820.56
  4. Step 4: Simplify right side
    272,678.24x = 46,941,001,045.89
  5. Step 5: Solve for x
    x = 46,941,001,045.89/272,678.24
  6. Step 6: Final answer
    x = 172,147.95

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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.