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Finding the Fourth Proportional to 141,814.14, 212,760.75 and 61,859.25

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Solution

The fourth proportional to 141,814.14, 212,760.75 and 61,859.25 is: 92,806.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,814.14 : 212,760.75 = 61,859.25 : x
  2. Step 2: Convert to fraction form
    141,814.14/212,760.75 = 61,859.25/x
  3. Step 3: Cross multiply
    141,814.14x = 212,760.75 × 61,859.25
  4. Step 4: Simplify right side
    141,814.14x = 13,161,220,424.44
  5. Step 5: Solve for x
    x = 13,161,220,424.44/141,814.14
  6. Step 6: Final answer
    x = 92,806.12

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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.