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Finding the Fourth Proportional to 109,358.80, 164,074.65 and 97,600.30

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Solution

The fourth proportional to 109,358.80, 164,074.65 and 97,600.30 is: 146,432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,358.80 : 164,074.65 = 97,600.30 : x
  2. Step 2: Convert to fraction form
    109,358.80/164,074.65 = 97,600.30/x
  3. Step 3: Cross multiply
    109,358.80x = 164,074.65 × 97,600.30
  4. Step 4: Simplify right side
    109,358.80x = 16,013,735,062.40
  5. Step 5: Solve for x
    x = 16,013,735,062.40/109,358.80
  6. Step 6: Final answer
    x = 146,432.98

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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.