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Finding the Fourth Proportional to 197,173, 272,079.24 and 120,713.65

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Solution

The fourth proportional to 197,173, 272,079.24 and 120,713.65 is: 166,572.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,173 : 272,079.24 = 120,713.65 : x
  2. Step 2: Convert to fraction form
    197,173/272,079.24 = 120,713.65/x
  3. Step 3: Cross multiply
    197,173x = 272,079.24 × 120,713.65
  4. Step 4: Simplify right side
    197,173x = 32,843,678,149.63
  5. Step 5: Solve for x
    x = 32,843,678,149.63/197,173
  6. Step 6: Final answer
    x = 166,572.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.