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Finding the Fourth Proportional to 152,711.16, 210,734.31 and 84,727.41

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Solution

The fourth proportional to 152,711.16, 210,734.31 and 84,727.41 is: 116,919.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,711.16 : 210,734.31 = 84,727.41 : x
  2. Step 2: Convert to fraction form
    152,711.16/210,734.31 = 84,727.41/x
  3. Step 3: Cross multiply
    152,711.16x = 210,734.31 × 84,727.41
  4. Step 4: Simplify right side
    152,711.16x = 17,854,972,284.44
  5. Step 5: Solve for x
    x = 17,854,972,284.44/152,711.16
  6. Step 6: Final answer
    x = 116,919.89

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Why These Related Problems?

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