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Finding the Fourth Proportional to 230,992.76, 346,005.81 and 185,769.66

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Solution

The fourth proportional to 230,992.76, 346,005.81 and 185,769.66 is: 278,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,992.76 : 346,005.81 = 185,769.66 : x
  2. Step 2: Convert to fraction form
    230,992.76/346,005.81 = 185,769.66/x
  3. Step 3: Cross multiply
    230,992.76x = 346,005.81 × 185,769.66
  4. Step 4: Simplify right side
    230,992.76x = 64,277,381,681.72
  5. Step 5: Solve for x
    x = 64,277,381,681.72/230,992.76
  6. Step 6: Final answer
    x = 278,265.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.