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Finding the Fourth Proportional to 140,879.88, 194,412.83 and 77,218.74

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Solution

The fourth proportional to 140,879.88, 194,412.83 and 77,218.74 is: 106,561.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,879.88 : 194,412.83 = 77,218.74 : x
  2. Step 2: Convert to fraction form
    140,879.88/194,412.83 = 77,218.74/x
  3. Step 3: Cross multiply
    140,879.88x = 194,412.83 × 77,218.74
  4. Step 4: Simplify right side
    140,879.88x = 15,012,313,386.34
  5. Step 5: Solve for x
    x = 15,012,313,386.34/140,879.88
  6. Step 6: Final answer
    x = 106,561.09

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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.