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Finding the Fourth Proportional to 99,221.16, 136,856.94 and 82,823.16

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Solution

The fourth proportional to 99,221.16, 136,856.94 and 82,823.16 is: 114,238.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,221.16 : 136,856.94 = 82,823.16 : x
  2. Step 2: Convert to fraction form
    99,221.16/136,856.94 = 82,823.16/x
  3. Step 3: Cross multiply
    99,221.16x = 136,856.94 × 82,823.16
  4. Step 4: Simplify right side
    99,221.16x = 11,334,924,238.73
  5. Step 5: Solve for x
    x = 11,334,924,238.73/99,221.16
  6. Step 6: Final answer
    x = 114,238.98

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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.