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Finding the Fourth Proportional to 97,280.38, 134,234.98 and 54,249.79

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Solution

The fourth proportional to 97,280.38, 134,234.98 and 54,249.79 is: 74,858.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,280.38 : 134,234.98 = 54,249.79 : x
  2. Step 2: Convert to fraction form
    97,280.38/134,234.98 = 54,249.79/x
  3. Step 3: Cross multiply
    97,280.38x = 134,234.98 × 54,249.79
  4. Step 4: Simplify right side
    97,280.38x = 7,282,219,448.81
  5. Step 5: Solve for x
    x = 7,282,219,448.81/97,280.38
  6. Step 6: Final answer
    x = 74,858.05

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Why These Related Problems?

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