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Finding the Fourth Proportional to 106,294.42, 146,680.76 and 66,007.32

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Solution

The fourth proportional to 106,294.42, 146,680.76 and 66,007.32 is: 91,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,294.42 : 146,680.76 = 66,007.32 : x
  2. Step 2: Convert to fraction form
    106,294.42/146,680.76 = 66,007.32/x
  3. Step 3: Cross multiply
    106,294.42x = 146,680.76 × 66,007.32
  4. Step 4: Simplify right side
    106,294.42x = 9,682,003,863.16
  5. Step 5: Solve for x
    x = 9,682,003,863.16/106,294.42
  6. Step 6: Final answer
    x = 91,086.66

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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.