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Finding the Fourth Proportional to 234,898.38, 325,014.12 and 204,746.94

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Solution

The fourth proportional to 234,898.38, 325,014.12 and 204,746.94 is: 283,295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,898.38 : 325,014.12 = 204,746.94 : x
  2. Step 2: Convert to fraction form
    234,898.38/325,014.12 = 204,746.94/x
  3. Step 3: Cross multiply
    234,898.38x = 325,014.12 × 204,746.94
  4. Step 4: Simplify right side
    234,898.38x = 66,545,646,526.79
  5. Step 5: Solve for x
    x = 66,545,646,526.79/234,898.38
  6. Step 6: Final answer
    x = 283,295.47

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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.