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Finding the Fourth Proportional to 202,120, 278,921.82 and 111,484.42

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Solution

The fourth proportional to 202,120, 278,921.82 and 111,484.42 is: 153,846.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,120 : 278,921.82 = 111,484.42 : x
  2. Step 2: Convert to fraction form
    202,120/278,921.82 = 111,484.42/x
  3. Step 3: Cross multiply
    202,120x = 278,921.82 × 111,484.42
  4. Step 4: Simplify right side
    202,120x = 31,095,437,328.04
  5. Step 5: Solve for x
    x = 31,095,437,328.04/202,120
  6. Step 6: Final answer
    x = 153,846.41

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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.