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Finding the Fourth Proportional to 180,316.14, 270,488.82 and 61,987.56

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Solution

The fourth proportional to 180,316.14, 270,488.82 and 61,987.56 is: 92,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,316.14 : 270,488.82 = 61,987.56 : x
  2. Step 2: Convert to fraction form
    180,316.14/270,488.82 = 61,987.56/x
  3. Step 3: Cross multiply
    180,316.14x = 270,488.82 × 61,987.56
  4. Step 4: Simplify right side
    180,316.14x = 16,766,941,959.08
  5. Step 5: Solve for x
    x = 16,766,941,959.08/180,316.14
  6. Step 6: Final answer
    x = 92,986.36

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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.