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Finding the Fourth Proportional to 163,341.76, 244,857.12 and 52,456

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Solution

The fourth proportional to 163,341.76, 244,857.12 and 52,456 is: 78,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,341.76 : 244,857.12 = 52,456 : x
  2. Step 2: Convert to fraction form
    163,341.76/244,857.12 = 52,456/x
  3. Step 3: Cross multiply
    163,341.76x = 244,857.12 × 52,456
  4. Step 4: Simplify right side
    163,341.76x = 12,844,225,086.72
  5. Step 5: Solve for x
    x = 12,844,225,086.72/163,341.76
  6. Step 6: Final answer
    x = 78,634.06

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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.