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Finding the Fourth Proportional to 176,808.76, 243,992.64 and 96,238.06

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Solution

The fourth proportional to 176,808.76, 243,992.64 and 96,238.06 is: 132,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,808.76 : 243,992.64 = 96,238.06 : x
  2. Step 2: Convert to fraction form
    176,808.76/243,992.64 = 96,238.06/x
  3. Step 3: Cross multiply
    176,808.76x = 243,992.64 × 96,238.06
  4. Step 4: Simplify right side
    176,808.76x = 23,481,378,327.88
  5. Step 5: Solve for x
    x = 23,481,378,327.88/176,808.76
  6. Step 6: Final answer
    x = 132,806.65

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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.