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Finding the Fourth Proportional to 141,238, 194,925.72 and 81,622

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Solution

The fourth proportional to 141,238, 194,925.72 and 81,622 is: 112,648.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,238 : 194,925.72 = 81,622 : x
  2. Step 2: Convert to fraction form
    141,238/194,925.72 = 81,622/x
  3. Step 3: Cross multiply
    141,238x = 194,925.72 × 81,622
  4. Step 4: Simplify right side
    141,238x = 15,910,227,117.84
  5. Step 5: Solve for x
    x = 15,910,227,117.84/141,238
  6. Step 6: Final answer
    x = 112,648.35

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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.