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Finding the Fourth Proportional to 272,077.96, 408,186.10 and 159,853

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Solution

The fourth proportional to 272,077.96, 408,186.10 and 159,853 is: 239,820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,077.96 : 408,186.10 = 159,853 : x
  2. Step 2: Convert to fraction form
    272,077.96/408,186.10 = 159,853/x
  3. Step 3: Cross multiply
    272,077.96x = 408,186.10 × 159,853
  4. Step 4: Simplify right side
    272,077.96x = 65,249,772,643.30
  5. Step 5: Solve for x
    x = 65,249,772,643.30/272,077.96
  6. Step 6: Final answer
    x = 239,820.13

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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.