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Finding the Fourth Proportional to 202,011.72, 278,778.14 and 111,371.28

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Solution

The fourth proportional to 202,011.72, 278,778.14 and 111,371.28 is: 153,693.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,011.72 : 278,778.14 = 111,371.28 : x
  2. Step 2: Convert to fraction form
    202,011.72/278,778.14 = 111,371.28/x
  3. Step 3: Cross multiply
    202,011.72x = 278,778.14 × 111,371.28
  4. Step 4: Simplify right side
    202,011.72x = 31,047,878,287.82
  5. Step 5: Solve for x
    x = 31,047,878,287.82/202,011.72
  6. Step 6: Final answer
    x = 153,693.45

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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.