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Finding the Fourth Proportional to 245,693.24, 368,541.92 and 68,214.10

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Solution

The fourth proportional to 245,693.24, 368,541.92 and 68,214.10 is: 102,321.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,693.24 : 368,541.92 = 68,214.10 : x
  2. Step 2: Convert to fraction form
    245,693.24/368,541.92 = 68,214.10/x
  3. Step 3: Cross multiply
    245,693.24x = 368,541.92 × 68,214.10
  4. Step 4: Simplify right side
    245,693.24x = 25,139,755,385.07
  5. Step 5: Solve for x
    x = 25,139,755,385.07/245,693.24
  6. Step 6: Final answer
    x = 102,321.72

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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.