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Finding the Fourth Proportional to 197,633.50, 296,451 and 47,873.50

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Solution

The fourth proportional to 197,633.50, 296,451 and 47,873.50 is: 71,810.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,633.50 : 296,451 = 47,873.50 : x
  2. Step 2: Convert to fraction form
    197,633.50/296,451 = 47,873.50/x
  3. Step 3: Cross multiply
    197,633.50x = 296,451 × 47,873.50
  4. Step 4: Simplify right side
    197,633.50x = 14,192,146,948.50
  5. Step 5: Solve for x
    x = 14,192,146,948.50/197,633.50
  6. Step 6: Final answer
    x = 71,810.43

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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.