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Finding the Fourth Proportional to 109,672.20, 164,508.30 and 97,206.30

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Solution

The fourth proportional to 109,672.20, 164,508.30 and 97,206.30 is: 145,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,672.20 : 164,508.30 = 97,206.30 : x
  2. Step 2: Convert to fraction form
    109,672.20/164,508.30 = 97,206.30/x
  3. Step 3: Cross multiply
    109,672.20x = 164,508.30 × 97,206.30
  4. Step 4: Simplify right side
    109,672.20x = 15,991,243,162.29
  5. Step 5: Solve for x
    x = 15,991,243,162.29/109,672.20
  6. Step 6: Final answer
    x = 145,809.45

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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.