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Finding the Fourth Proportional to 202,064.27, 278,846.47 and 111,428.20

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Solution

The fourth proportional to 202,064.27, 278,846.47 and 111,428.20 is: 153,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,064.27 : 278,846.47 = 111,428.20 : x
  2. Step 2: Convert to fraction form
    202,064.27/278,846.47 = 111,428.20/x
  3. Step 3: Cross multiply
    202,064.27x = 278,846.47 × 111,428.20
  4. Step 4: Simplify right side
    202,064.27x = 31,071,360,228.45
  5. Step 5: Solve for x
    x = 31,071,360,228.45/202,064.27
  6. Step 6: Final answer
    x = 153,769.69

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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.