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Finding the Fourth Proportional to 103,960.44, 143,465.52 and 56,213.82

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Solution

The fourth proportional to 103,960.44, 143,465.52 and 56,213.82 is: 77,575.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,960.44 : 143,465.52 = 56,213.82 : x
  2. Step 2: Convert to fraction form
    103,960.44/143,465.52 = 56,213.82/x
  3. Step 3: Cross multiply
    103,960.44x = 143,465.52 × 56,213.82
  4. Step 4: Simplify right side
    103,960.44x = 8,064,744,917.49
  5. Step 5: Solve for x
    x = 8,064,744,917.49/103,960.44
  6. Step 6: Final answer
    x = 77,575.13

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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.