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Finding the Fourth Proportional to 136,284.52, 204,352.59 and 47,514.16

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Solution

The fourth proportional to 136,284.52, 204,352.59 and 47,514.16 is: 71,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,284.52 : 204,352.59 = 47,514.16 : x
  2. Step 2: Convert to fraction form
    136,284.52/204,352.59 = 47,514.16/x
  3. Step 3: Cross multiply
    136,284.52x = 204,352.59 × 47,514.16
  4. Step 4: Simplify right side
    136,284.52x = 9,709,641,657.67
  5. Step 5: Solve for x
    x = 9,709,641,657.67/136,284.52
  6. Step 6: Final answer
    x = 71,245.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.