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Finding the Fourth Proportional to 141,024, 194,618.88 and 81,408

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Solution

The fourth proportional to 141,024, 194,618.88 and 81,408 is: 112,346.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,024 : 194,618.88 = 81,408 : x
  2. Step 2: Convert to fraction form
    141,024/194,618.88 = 81,408/x
  3. Step 3: Cross multiply
    141,024x = 194,618.88 × 81,408
  4. Step 4: Simplify right side
    141,024x = 15,843,533,783.04
  5. Step 5: Solve for x
    x = 15,843,533,783.04/141,024
  6. Step 6: Final answer
    x = 112,346.37

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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.