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Finding the Fourth Proportional to 101,916.06, 140,641.44 and 56,592.86

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Solution

The fourth proportional to 101,916.06, 140,641.44 and 56,592.86 is: 78,096.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,916.06 : 140,641.44 = 56,592.86 : x
  2. Step 2: Convert to fraction form
    101,916.06/140,641.44 = 56,592.86/x
  3. Step 3: Cross multiply
    101,916.06x = 140,641.44 × 56,592.86
  4. Step 4: Simplify right side
    101,916.06x = 7,959,301,324.12
  5. Step 5: Solve for x
    x = 7,959,301,324.12/101,916.06
  6. Step 6: Final answer
    x = 78,096.63

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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.