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Finding the Fourth Proportional to 311,951.17, 467,959.56 and 101,605.51

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Solution

The fourth proportional to 311,951.17, 467,959.56 and 101,605.51 is: 152,418.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,951.17 : 467,959.56 = 101,605.51 : x
  2. Step 2: Convert to fraction form
    311,951.17/467,959.56 = 101,605.51/x
  3. Step 3: Cross multiply
    311,951.17x = 467,959.56 × 101,605.51
  4. Step 4: Simplify right side
    311,951.17x = 47,547,269,753.18
  5. Step 5: Solve for x
    x = 47,547,269,753.18/311,951.17
  6. Step 6: Final answer
    x = 152,418.95

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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.