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Finding the Fourth Proportional to 109,904.10, 164,856.15 and 64,997.70

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Solution

The fourth proportional to 109,904.10, 164,856.15 and 64,997.70 is: 97,496.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,904.10 : 164,856.15 = 64,997.70 : x
  2. Step 2: Convert to fraction form
    109,904.10/164,856.15 = 64,997.70/x
  3. Step 3: Cross multiply
    109,904.10x = 164,856.15 × 64,997.70
  4. Step 4: Simplify right side
    109,904.10x = 10,715,270,580.86
  5. Step 5: Solve for x
    x = 10,715,270,580.86/109,904.10
  6. Step 6: Final answer
    x = 97,496.55

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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.