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Finding the Fourth Proportional to 138,506.36, 191,227.74 and 86,894.22

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Solution

The fourth proportional to 138,506.36, 191,227.74 and 86,894.22 is: 119,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,506.36 : 191,227.74 = 86,894.22 : x
  2. Step 2: Convert to fraction form
    138,506.36/191,227.74 = 86,894.22/x
  3. Step 3: Cross multiply
    138,506.36x = 191,227.74 × 86,894.22
  4. Step 4: Simplify right side
    138,506.36x = 16,616,585,309.66
  5. Step 5: Solve for x
    x = 16,616,585,309.66/138,506.36
  6. Step 6: Final answer
    x = 119,969.84

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1.5x scale

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.