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Finding the Fourth Proportional to 110,713, 152,853.06 and 71,038.12

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Solution

The fourth proportional to 110,713, 152,853.06 and 71,038.12 is: 98,076.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,713 : 152,853.06 = 71,038.12 : x
  2. Step 2: Convert to fraction form
    110,713/152,853.06 = 71,038.12/x
  3. Step 3: Cross multiply
    110,713x = 152,853.06 × 71,038.12
  4. Step 4: Simplify right side
    110,713x = 10,858,394,018.65
  5. Step 5: Solve for x
    x = 10,858,394,018.65/110,713
  6. Step 6: Final answer
    x = 98,076.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.