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Finding the Fourth Proportional to 146,012.82, 201,497.70 and 78,944.82

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Solution

The fourth proportional to 146,012.82, 201,497.70 and 78,944.82 is: 108,943.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,012.82 : 201,497.70 = 78,944.82 : x
  2. Step 2: Convert to fraction form
    146,012.82/201,497.70 = 78,944.82/x
  3. Step 3: Cross multiply
    146,012.82x = 201,497.70 × 78,944.82
  4. Step 4: Simplify right side
    146,012.82x = 15,907,199,656.91
  5. Step 5: Solve for x
    x = 15,907,199,656.91/146,012.82
  6. Step 6: Final answer
    x = 108,943.86

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1.5x scale

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.