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Finding the Fourth Proportional to 188,251.94, 282,412.74 and 61,899.14

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Solution

The fourth proportional to 188,251.94, 282,412.74 and 61,899.14 is: 92,860.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,251.94 : 282,412.74 = 61,899.14 : x
  2. Step 2: Convert to fraction form
    188,251.94/282,412.74 = 61,899.14/x
  3. Step 3: Cross multiply
    188,251.94x = 282,412.74 × 61,899.14
  4. Step 4: Simplify right side
    188,251.94x = 17,481,105,731.04
  5. Step 5: Solve for x
    x = 17,481,105,731.04/188,251.94
  6. Step 6: Final answer
    x = 92,860.16

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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.