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Finding the Fourth Proportional to 230,854.67, 346,301.74 and 81,081.92

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Solution

The fourth proportional to 230,854.67, 346,301.74 and 81,081.92 is: 121,629.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,854.67 : 346,301.74 = 81,081.92 : x
  2. Step 2: Convert to fraction form
    230,854.67/346,301.74 = 81,081.92/x
  3. Step 3: Cross multiply
    230,854.67x = 346,301.74 × 81,081.92
  4. Step 4: Simplify right side
    230,854.67x = 28,078,808,044.33
  5. Step 5: Solve for x
    x = 28,078,808,044.33/230,854.67
  6. Step 6: Final answer
    x = 121,629.81

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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.