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Finding the Fourth Proportional to 164,496.30, 246,744.45 and 147,000.30

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Solution

The fourth proportional to 164,496.30, 246,744.45 and 147,000.30 is: 220,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,496.30 : 246,744.45 = 147,000.30 : x
  2. Step 2: Convert to fraction form
    164,496.30/246,744.45 = 147,000.30/x
  3. Step 3: Cross multiply
    164,496.30x = 246,744.45 × 147,000.30
  4. Step 4: Simplify right side
    164,496.30x = 36,271,508,173.34
  5. Step 5: Solve for x
    x = 36,271,508,173.34/164,496.30
  6. Step 6: Final answer
    x = 220,500.45

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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.