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Finding the Fourth Proportional to 202,009.14, 278,760.06 and 111,360.42

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Solution

The fourth proportional to 202,009.14, 278,760.06 and 111,360.42 is: 153,670.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,009.14 : 278,760.06 = 111,360.42 : x
  2. Step 2: Convert to fraction form
    202,009.14/278,760.06 = 111,360.42/x
  3. Step 3: Cross multiply
    202,009.14x = 278,760.06 × 111,360.42
  4. Step 4: Simplify right side
    202,009.14x = 31,042,837,360.83
  5. Step 5: Solve for x
    x = 31,042,837,360.83/202,009.14
  6. Step 6: Final answer
    x = 153,670.46

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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.