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Finding the Fourth Proportional to 238,224.28, 328,753.08 and 130,804

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Solution

The fourth proportional to 238,224.28, 328,753.08 and 130,804 is: 180,511.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,224.28 : 328,753.08 = 130,804 : x
  2. Step 2: Convert to fraction form
    238,224.28/328,753.08 = 130,804/x
  3. Step 3: Cross multiply
    238,224.28x = 328,753.08 × 130,804
  4. Step 4: Simplify right side
    238,224.28x = 43,002,217,876.32
  5. Step 5: Solve for x
    x = 43,002,217,876.32/238,224.28
  6. Step 6: Final answer
    x = 180,511.48

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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.