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Finding the Fourth Proportional to 101,600.94, 140,204.43 and 56,275.86

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Solution

The fourth proportional to 101,600.94, 140,204.43 and 56,275.86 is: 77,657.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,600.94 : 140,204.43 = 56,275.86 : x
  2. Step 2: Convert to fraction form
    101,600.94/140,204.43 = 56,275.86/x
  3. Step 3: Cross multiply
    101,600.94x = 140,204.43 × 56,275.86
  4. Step 4: Simplify right side
    101,600.94x = 7,890,124,874.06
  5. Step 5: Solve for x
    x = 7,890,124,874.06/101,600.94
  6. Step 6: Final answer
    x = 77,657.99

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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.