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Finding the Fourth Proportional to 101,916.42, 140,643.71 and 56,593.27

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Solution

The fourth proportional to 101,916.42, 140,643.71 and 56,593.27 is: 78,098.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,916.42 : 140,643.71 = 56,593.27 : x
  2. Step 2: Convert to fraction form
    101,916.42/140,643.71 = 56,593.27/x
  3. Step 3: Cross multiply
    101,916.42x = 140,643.71 × 56,593.27
  4. Step 4: Simplify right side
    101,916.42x = 7,959,487,170.87
  5. Step 5: Solve for x
    x = 7,959,487,170.87/101,916.42
  6. Step 6: Final answer
    x = 78,098.19

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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.