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Finding the Fourth Proportional to 144,775.06, 217,034.12 and 54,754.81

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Solution

The fourth proportional to 144,775.06, 217,034.12 and 54,754.81 is: 82,083.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,775.06 : 217,034.12 = 54,754.81 : x
  2. Step 2: Convert to fraction form
    144,775.06/217,034.12 = 54,754.81/x
  3. Step 3: Cross multiply
    144,775.06x = 217,034.12 × 54,754.81
  4. Step 4: Simplify right side
    144,775.06x = 11,883,662,131.83
  5. Step 5: Solve for x
    x = 11,883,662,131.83/144,775.06
  6. Step 6: Final answer
    x = 82,083.63

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1.5x scale

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.