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Finding the Fourth Proportional to 101,884.94, 140,594.16 and 56,559.34

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Solution

The fourth proportional to 101,884.94, 140,594.16 and 56,559.34 is: 78,047.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,884.94 : 140,594.16 = 56,559.34 : x
  2. Step 2: Convert to fraction form
    101,884.94/140,594.16 = 56,559.34/x
  3. Step 3: Cross multiply
    101,884.94x = 140,594.16 × 56,559.34
  4. Step 4: Simplify right side
    101,884.94x = 7,951,912,897.45
  5. Step 5: Solve for x
    x = 7,951,912,897.45/101,884.94
  6. Step 6: Final answer
    x = 78,047.97

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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.