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Finding the Fourth Proportional to 202,295.14, 278,418.27 and 148,494.94

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Solution

The fourth proportional to 202,295.14, 278,418.27 and 148,494.94 is: 204,373.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,295.14 : 278,418.27 = 148,494.94 : x
  2. Step 2: Convert to fraction form
    202,295.14/278,418.27 = 148,494.94/x
  3. Step 3: Cross multiply
    202,295.14x = 278,418.27 × 148,494.94
  4. Step 4: Simplify right side
    202,295.14x = 41,343,704,298.55
  5. Step 5: Solve for x
    x = 41,343,704,298.55/202,295.14
  6. Step 6: Final answer
    x = 204,373.20

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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.