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Finding the Fourth Proportional to 141,588, 212,414.85 and 48,093.84

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Solution

The fourth proportional to 141,588, 212,414.85 and 48,093.84 is: 72,151.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,588 : 212,414.85 = 48,093.84 : x
  2. Step 2: Convert to fraction form
    141,588/212,414.85 = 48,093.84/x
  3. Step 3: Cross multiply
    141,588x = 212,414.85 × 48,093.84
  4. Step 4: Simplify right side
    141,588x = 10,215,845,809.52
  5. Step 5: Solve for x
    x = 10,215,845,809.52/141,588
  6. Step 6: Final answer
    x = 72,151.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.