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Finding the Fourth Proportional to 176,821.84, 244,019.64 and 96,254.73

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Solution

The fourth proportional to 176,821.84, 244,019.64 and 96,254.73 is: 132,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,821.84 : 244,019.64 = 96,254.73 : x
  2. Step 2: Convert to fraction form
    176,821.84/244,019.64 = 96,254.73/x
  3. Step 3: Cross multiply
    176,821.84x = 244,019.64 × 96,254.73
  4. Step 4: Simplify right side
    176,821.84x = 23,488,044,081.62
  5. Step 5: Solve for x
    x = 23,488,044,081.62/176,821.84
  6. Step 6: Final answer
    x = 132,834.52

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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.