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Finding the Fourth Proportional to 141,117, 194,734.41 and 83,758.82

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Solution

The fourth proportional to 141,117, 194,734.41 and 83,758.82 is: 115,582.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,117 : 194,734.41 = 83,758.82 : x
  2. Step 2: Convert to fraction form
    141,117/194,734.41 = 83,758.82/x
  3. Step 3: Cross multiply
    141,117x = 194,734.41 × 83,758.82
  4. Step 4: Simplify right side
    141,117x = 16,310,723,421.32
  5. Step 5: Solve for x
    x = 16,310,723,421.32/141,117
  6. Step 6: Final answer
    x = 115,582.98

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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.