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Finding the Fourth Proportional to 242,094.92, 363,152.12 and 84,339.32

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Solution

The fourth proportional to 242,094.92, 363,152.12 and 84,339.32 is: 126,512.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,094.92 : 363,152.12 = 84,339.32 : x
  2. Step 2: Convert to fraction form
    242,094.92/363,152.12 = 84,339.32/x
  3. Step 3: Cross multiply
    242,094.92x = 363,152.12 × 84,339.32
  4. Step 4: Simplify right side
    242,094.92x = 30,628,002,857.36
  5. Step 5: Solve for x
    x = 30,628,002,857.36/242,094.92
  6. Step 6: Final answer
    x = 126,512.37

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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.