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Finding the Fourth Proportional to 197,345.92, 272,331.84 and 107,920

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Solution

The fourth proportional to 197,345.92, 272,331.84 and 107,920 is: 148,926.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,345.92 : 272,331.84 = 107,920 : x
  2. Step 2: Convert to fraction form
    197,345.92/272,331.84 = 107,920/x
  3. Step 3: Cross multiply
    197,345.92x = 272,331.84 × 107,920
  4. Step 4: Simplify right side
    197,345.92x = 29,390,052,172.80
  5. Step 5: Solve for x
    x = 29,390,052,172.80/197,345.92
  6. Step 6: Final answer
    x = 148,926.58

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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.