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Finding the Fourth Proportional to 127,874.53, 191,877.68 and 56,846.17

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Solution

The fourth proportional to 127,874.53, 191,877.68 and 56,846.17 is: 85,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,874.53 : 191,877.68 = 56,846.17 : x
  2. Step 2: Convert to fraction form
    127,874.53/191,877.68 = 56,846.17/x
  3. Step 3: Cross multiply
    127,874.53x = 191,877.68 × 56,846.17
  4. Step 4: Simplify right side
    127,874.53x = 10,907,510,932.25
  5. Step 5: Solve for x
    x = 10,907,510,932.25/127,874.53
  6. Step 6: Final answer
    x = 85,298.54

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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.