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Finding the Fourth Proportional to 109,808.10, 164,614.95 and 97,998.30

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Solution

The fourth proportional to 109,808.10, 164,614.95 and 97,998.30 is: 146,910.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,808.10 : 164,614.95 = 97,998.30 : x
  2. Step 2: Convert to fraction form
    109,808.10/164,614.95 = 97,998.30/x
  3. Step 3: Cross multiply
    109,808.10x = 164,614.95 × 97,998.30
  4. Step 4: Simplify right side
    109,808.10x = 16,131,985,254.59
  5. Step 5: Solve for x
    x = 16,131,985,254.59/109,808.10
  6. Step 6: Final answer
    x = 146,910.70

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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.