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Finding the Fourth Proportional to 141,067.98, 194,666.09 and 77,400.77

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Solution

The fourth proportional to 141,067.98, 194,666.09 and 77,400.77 is: 106,808.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,067.98 : 194,666.09 = 77,400.77 : x
  2. Step 2: Convert to fraction form
    141,067.98/194,666.09 = 77,400.77/x
  3. Step 3: Cross multiply
    141,067.98x = 194,666.09 × 77,400.77
  4. Step 4: Simplify right side
    141,067.98x = 15,067,303,898.56
  5. Step 5: Solve for x
    x = 15,067,303,898.56/141,067.98
  6. Step 6: Final answer
    x = 106,808.82

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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.