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Finding the Fourth Proportional to 142,554.58, 213,879.36 and 47,794.14

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Solution

The fourth proportional to 142,554.58, 213,879.36 and 47,794.14 is: 71,707.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,554.58 : 213,879.36 = 47,794.14 : x
  2. Step 2: Convert to fraction form
    142,554.58/213,879.36 = 47,794.14/x
  3. Step 3: Cross multiply
    142,554.58x = 213,879.36 × 47,794.14
  4. Step 4: Simplify right side
    142,554.58x = 10,222,180,074.95
  5. Step 5: Solve for x
    x = 10,222,180,074.95/142,554.58
  6. Step 6: Final answer
    x = 71,707.13

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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.