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Finding the Fourth Proportional to 141,206.67, 194,866.44 and 77,544.90

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Solution

The fourth proportional to 141,206.67, 194,866.44 and 77,544.90 is: 107,012.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,206.67 : 194,866.44 = 77,544.90 : x
  2. Step 2: Convert to fraction form
    141,206.67/194,866.44 = 77,544.90/x
  3. Step 3: Cross multiply
    141,206.67x = 194,866.44 × 77,544.90
  4. Step 4: Simplify right side
    141,206.67x = 15,110,898,603.16
  5. Step 5: Solve for x
    x = 15,110,898,603.16/141,206.67
  6. Step 6: Final answer
    x = 107,012.64

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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.