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Finding the Fourth Proportional to 197,764.50, 296,646.08 and 48,004.68

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Solution

The fourth proportional to 197,764.50, 296,646.08 and 48,004.68 is: 72,006.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,764.50 : 296,646.08 = 48,004.68 : x
  2. Step 2: Convert to fraction form
    197,764.50/296,646.08 = 48,004.68/x
  3. Step 3: Cross multiply
    197,764.50x = 296,646.08 × 48,004.68
  4. Step 4: Simplify right side
    197,764.50x = 14,240,400,143.65
  5. Step 5: Solve for x
    x = 14,240,400,143.65/197,764.50
  6. Step 6: Final answer
    x = 72,006.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.