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Finding the Fourth Proportional to 176,796.23, 243,978.05 and 96,223.73

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Solution

The fourth proportional to 176,796.23, 243,978.05 and 96,223.73 is: 132,788.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,796.23 : 243,978.05 = 96,223.73 : x
  2. Step 2: Convert to fraction form
    176,796.23/243,978.05 = 96,223.73/x
  3. Step 3: Cross multiply
    176,796.23x = 243,978.05 × 96,223.73
  4. Step 4: Simplify right side
    176,796.23x = 23,476,476,308.12
  5. Step 5: Solve for x
    x = 23,476,476,308.12/176,796.23
  6. Step 6: Final answer
    x = 132,788.33

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1.5x scale

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.