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Finding the Fourth Proportional to 176,456.50, 243,509.97 and 96,968.50

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Solution

The fourth proportional to 176,456.50, 243,509.97 and 96,968.50 is: 133,816.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,456.50 : 243,509.97 = 96,968.50 : x
  2. Step 2: Convert to fraction form
    176,456.50/243,509.97 = 96,968.50/x
  3. Step 3: Cross multiply
    176,456.50x = 243,509.97 × 96,968.50
  4. Step 4: Simplify right side
    176,456.50x = 23,612,796,525.95
  5. Step 5: Solve for x
    x = 23,612,796,525.95/176,456.50
  6. Step 6: Final answer
    x = 133,816.53

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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.