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Finding the Fourth Proportional to 381,094.06, 571,641.30 and 96,805.93

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Solution

The fourth proportional to 381,094.06, 571,641.30 and 96,805.93 is: 145,208.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,094.06 : 571,641.30 = 96,805.93 : x
  2. Step 2: Convert to fraction form
    381,094.06/571,641.30 = 96,805.93/x
  3. Step 3: Cross multiply
    381,094.06x = 571,641.30 × 96,805.93
  4. Step 4: Simplify right side
    381,094.06x = 55,338,267,672.91
  5. Step 5: Solve for x
    x = 55,338,267,672.91/381,094.06
  6. Step 6: Final answer
    x = 145,208.95

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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.