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Finding the Fourth Proportional to 104,161.52, 143,742.85 and 56,414.87

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Solution

The fourth proportional to 104,161.52, 143,742.85 and 56,414.87 is: 77,852.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,161.52 : 143,742.85 = 56,414.87 : x
  2. Step 2: Convert to fraction form
    104,161.52/143,742.85 = 56,414.87/x
  3. Step 3: Cross multiply
    104,161.52x = 143,742.85 × 56,414.87
  4. Step 4: Simplify right side
    104,161.52x = 8,109,234,196.18
  5. Step 5: Solve for x
    x = 8,109,234,196.18/104,161.52
  6. Step 6: Final answer
    x = 77,852.49

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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.