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Finding the Fourth Proportional to 150,680.13, 207,946.12 and 82,696.51

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Solution

The fourth proportional to 150,680.13, 207,946.12 and 82,696.51 is: 114,125.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,680.13 : 207,946.12 = 82,696.51 : x
  2. Step 2: Convert to fraction form
    150,680.13/207,946.12 = 82,696.51/x
  3. Step 3: Cross multiply
    150,680.13x = 207,946.12 × 82,696.51
  4. Step 4: Simplify right side
    150,680.13x = 17,196,418,392.04
  5. Step 5: Solve for x
    x = 17,196,418,392.04/150,680.13
  6. Step 6: Final answer
    x = 114,125.32

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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.