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Finding the Fourth Proportional to 150,693.16, 207,964.74 and 83,626.60

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Solution

The fourth proportional to 150,693.16, 207,964.74 and 83,626.60 is: 115,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,693.16 : 207,964.74 = 83,626.60 : x
  2. Step 2: Convert to fraction form
    150,693.16/207,964.74 = 83,626.60/x
  3. Step 3: Cross multiply
    150,693.16x = 207,964.74 × 83,626.60
  4. Step 4: Simplify right side
    150,693.16x = 17,391,384,126.08
  5. Step 5: Solve for x
    x = 17,391,384,126.08/150,693.16
  6. Step 6: Final answer
    x = 115,409.25

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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.