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Finding the Fourth Proportional to 202,952.74, 280,187.40 and 122,400.76

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Solution

The fourth proportional to 202,952.74, 280,187.40 and 122,400.76 is: 168,980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,952.74 : 280,187.40 = 122,400.76 : x
  2. Step 2: Convert to fraction form
    202,952.74/280,187.40 = 122,400.76/x
  3. Step 3: Cross multiply
    202,952.74x = 280,187.40 × 122,400.76
  4. Step 4: Simplify right side
    202,952.74x = 34,295,150,702.42
  5. Step 5: Solve for x
    x = 34,295,150,702.42/202,952.74
  6. Step 6: Final answer
    x = 168,980.97

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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.