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Finding the Fourth Proportional to 202,044.30, 278,771.94 and 130,408.98

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Solution

The fourth proportional to 202,044.30, 278,771.94 and 130,408.98 is: 179,932.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,044.30 : 278,771.94 = 130,408.98 : x
  2. Step 2: Convert to fraction form
    202,044.30/278,771.94 = 130,408.98/x
  3. Step 3: Cross multiply
    202,044.30x = 278,771.94 × 130,408.98
  4. Step 4: Simplify right side
    202,044.30x = 36,354,364,348.02
  5. Step 5: Solve for x
    x = 36,354,364,348.02/202,044.30
  6. Step 6: Final answer
    x = 179,932.64

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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.