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Finding the Fourth Proportional to 202,054.45, 278,837.10 and 111,414.04

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Solution

The fourth proportional to 202,054.45, 278,837.10 and 111,414.04 is: 153,752.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,054.45 : 278,837.10 = 111,414.04 : x
  2. Step 2: Convert to fraction form
    202,054.45/278,837.10 = 111,414.04/x
  3. Step 3: Cross multiply
    202,054.45x = 278,837.10 × 111,414.04
  4. Step 4: Simplify right side
    202,054.45x = 31,066,367,812.88
  5. Step 5: Solve for x
    x = 31,066,367,812.88/202,054.45
  6. Step 6: Final answer
    x = 153,752.46

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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.