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Finding the Fourth Proportional to 202,054.32, 278,837.16 and 111,410.52

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Solution

The fourth proportional to 202,054.32, 278,837.16 and 111,410.52 is: 153,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,054.32 : 278,837.16 = 111,410.52 : x
  2. Step 2: Convert to fraction form
    202,054.32/278,837.16 = 111,410.52/x
  3. Step 3: Cross multiply
    202,054.32x = 278,837.16 × 111,410.52
  4. Step 4: Simplify right side
    202,054.32x = 31,065,392,990.92
  5. Step 5: Solve for x
    x = 31,065,392,990.92/202,054.32
  6. Step 6: Final answer
    x = 153,747.73

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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.