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Finding the Fourth Proportional to 152,709, 229,067.82 and 41,901

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Solution

The fourth proportional to 152,709, 229,067.82 and 41,901 is: 62,852.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,709 : 229,067.82 = 41,901 : x
  2. Step 2: Convert to fraction form
    152,709/229,067.82 = 41,901/x
  3. Step 3: Cross multiply
    152,709x = 229,067.82 × 41,901
  4. Step 4: Simplify right side
    152,709x = 9,598,170,725.82
  5. Step 5: Solve for x
    x = 9,598,170,725.82/152,709
  6. Step 6: Final answer
    x = 62,852.69

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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.