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Finding the Fourth Proportional to 242,062.36, 362,978.34 and 84,271.48

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Solution

The fourth proportional to 242,062.36, 362,978.34 and 84,271.48 is: 126,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,062.36 : 362,978.34 = 84,271.48 : x
  2. Step 2: Convert to fraction form
    242,062.36/362,978.34 = 84,271.48/x
  3. Step 3: Cross multiply
    242,062.36x = 362,978.34 × 84,271.48
  4. Step 4: Simplify right side
    242,062.36x = 30,588,721,919.74
  5. Step 5: Solve for x
    x = 30,588,721,919.74/242,062.36
  6. Step 6: Final answer
    x = 126,367.11

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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.