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Finding the Fourth Proportional to 266,065.82, 399,084.15 and 160,856.54

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Solution

The fourth proportional to 266,065.82, 399,084.15 and 160,856.54 is: 241,276.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,065.82 : 399,084.15 = 160,856.54 : x
  2. Step 2: Convert to fraction form
    266,065.82/399,084.15 = 160,856.54/x
  3. Step 3: Cross multiply
    266,065.82x = 399,084.15 × 160,856.54
  4. Step 4: Simplify right side
    266,065.82x = 64,195,295,537.84
  5. Step 5: Solve for x
    x = 64,195,295,537.84/266,065.82
  6. Step 6: Final answer
    x = 241,276.00

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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.