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Finding the Fourth Proportional to 110,794.16, 152,907 and 66,082.16

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Solution

The fourth proportional to 110,794.16, 152,907 and 66,082.16 is: 91,199.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,794.16 : 152,907 = 66,082.16 : x
  2. Step 2: Convert to fraction form
    110,794.16/152,907 = 66,082.16/x
  3. Step 3: Cross multiply
    110,794.16x = 152,907 × 66,082.16
  4. Step 4: Simplify right side
    110,794.16x = 10,104,424,839.12
  5. Step 5: Solve for x
    x = 10,104,424,839.12/110,794.16
  6. Step 6: Final answer
    x = 91,199.98

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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.