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Finding the Fourth Proportional to 157,878.78, 217,870.16 and 86,257.26

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Solution

The fourth proportional to 157,878.78, 217,870.16 and 86,257.26 is: 119,033.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,878.78 : 217,870.16 = 86,257.26 : x
  2. Step 2: Convert to fraction form
    157,878.78/217,870.16 = 86,257.26/x
  3. Step 3: Cross multiply
    157,878.78x = 217,870.16 × 86,257.26
  4. Step 4: Simplify right side
    157,878.78x = 18,792,882,606.08
  5. Step 5: Solve for x
    x = 18,792,882,606.08/157,878.78
  6. Step 6: Final answer
    x = 119,033.62

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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.