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Finding the Fourth Proportional to 101,856.97, 140,559.93 and 56,534.84

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Solution

The fourth proportional to 101,856.97, 140,559.93 and 56,534.84 is: 78,016.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,856.97 : 140,559.93 = 56,534.84 : x
  2. Step 2: Convert to fraction form
    101,856.97/140,559.93 = 56,534.84/x
  3. Step 3: Cross multiply
    101,856.97x = 140,559.93 × 56,534.84
  4. Step 4: Simplify right side
    101,856.97x = 7,946,532,450.16
  5. Step 5: Solve for x
    x = 7,946,532,450.16/101,856.97
  6. Step 6: Final answer
    x = 78,016.58

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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.