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Finding the Fourth Proportional to 234,025.86, 322,957.26 and 143,382

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Solution

The fourth proportional to 234,025.86, 322,957.26 and 143,382 is: 197,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,025.86 : 322,957.26 = 143,382 : x
  2. Step 2: Convert to fraction form
    234,025.86/322,957.26 = 143,382/x
  3. Step 3: Cross multiply
    234,025.86x = 322,957.26 × 143,382
  4. Step 4: Simplify right side
    234,025.86x = 46,306,257,853.32
  5. Step 5: Solve for x
    x = 46,306,257,853.32/234,025.86
  6. Step 6: Final answer
    x = 197,868.12

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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.