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Finding the Fourth Proportional to 141,005, 194,586.90 and 81,389

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Solution

The fourth proportional to 141,005, 194,586.90 and 81,389 is: 112,316.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,005 : 194,586.90 = 81,389 : x
  2. Step 2: Convert to fraction form
    141,005/194,586.90 = 81,389/x
  3. Step 3: Cross multiply
    141,005x = 194,586.90 × 81,389
  4. Step 4: Simplify right side
    141,005x = 15,837,233,204.10
  5. Step 5: Solve for x
    x = 15,837,233,204.10/141,005
  6. Step 6: Final answer
    x = 112,316.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.