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Finding the Fourth Proportional to 242,892.92, 364,463.28 and 163,841.48

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Solution

The fourth proportional to 242,892.92, 364,463.28 and 163,841.48 is: 245,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,892.92 : 364,463.28 = 163,841.48 : x
  2. Step 2: Convert to fraction form
    242,892.92/364,463.28 = 163,841.48/x
  3. Step 3: Cross multiply
    242,892.92x = 364,463.28 × 163,841.48
  4. Step 4: Simplify right side
    242,892.92x = 59,714,203,200.85
  5. Step 5: Solve for x
    x = 59,714,203,200.85/242,892.92
  6. Step 6: Final answer
    x = 245,845.80

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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.