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Finding the Fourth Proportional to 176,281, 243,267.78 and 96,793

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Solution

The fourth proportional to 176,281, 243,267.78 and 96,793 is: 133,574.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,281 : 243,267.78 = 96,793 : x
  2. Step 2: Convert to fraction form
    176,281/243,267.78 = 96,793/x
  3. Step 3: Cross multiply
    176,281x = 243,267.78 × 96,793
  4. Step 4: Simplify right side
    176,281x = 23,546,618,229.54
  5. Step 5: Solve for x
    x = 23,546,618,229.54/176,281
  6. Step 6: Final answer
    x = 133,574.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.