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Finding the Fourth Proportional to 188,133.96, 282,218.94 and 61,774.59

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Solution

The fourth proportional to 188,133.96, 282,218.94 and 61,774.59 is: 92,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,133.96 : 282,218.94 = 61,774.59 : x
  2. Step 2: Convert to fraction form
    188,133.96/282,218.94 = 61,774.59/x
  3. Step 3: Cross multiply
    188,133.96x = 282,218.94 × 61,774.59
  4. Step 4: Simplify right side
    188,133.96x = 17,433,959,308.73
  5. Step 5: Solve for x
    x = 17,433,959,308.73/188,133.96
  6. Step 6: Final answer
    x = 92,667.80

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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.