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Finding the Fourth Proportional to 109,656.70, 164,266.35 and 76,414.30

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Solution

The fourth proportional to 109,656.70, 164,266.35 and 76,414.30 is: 114,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,656.70 : 164,266.35 = 76,414.30 : x
  2. Step 2: Convert to fraction form
    109,656.70/164,266.35 = 76,414.30/x
  3. Step 3: Cross multiply
    109,656.70x = 164,266.35 × 76,414.30
  4. Step 4: Simplify right side
    109,656.70x = 12,552,298,148.81
  5. Step 5: Solve for x
    x = 12,552,298,148.81/109,656.70
  6. Step 6: Final answer
    x = 114,469.05

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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.