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Finding the Fourth Proportional to 84,231.64, 126,522.30 and 66,823.24

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Solution

The fourth proportional to 84,231.64, 126,522.30 and 66,823.24 is: 100,373.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,231.64 : 126,522.30 = 66,823.24 : x
  2. Step 2: Convert to fraction form
    84,231.64/126,522.30 = 66,823.24/x
  3. Step 3: Cross multiply
    84,231.64x = 126,522.30 × 66,823.24
  4. Step 4: Simplify right side
    84,231.64x = 8,454,630,018.25
  5. Step 5: Solve for x
    x = 8,454,630,018.25/84,231.64
  6. Step 6: Final answer
    x = 100,373.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.