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Finding the Fourth Proportional to 176,796, 243,972 and 96,221.52

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Solution

The fourth proportional to 176,796, 243,972 and 96,221.52 is: 132,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,796 : 243,972 = 96,221.52 : x
  2. Step 2: Convert to fraction form
    176,796/243,972 = 96,221.52/x
  3. Step 3: Cross multiply
    176,796x = 243,972 × 96,221.52
  4. Step 4: Simplify right side
    176,796x = 23,475,356,677.44
  5. Step 5: Solve for x
    x = 23,475,356,677.44/176,796
  6. Step 6: Final answer
    x = 132,782.17

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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.