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Finding the Fourth Proportional to 101,657.92, 140,283.88 and 56,337.84

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Solution

The fourth proportional to 101,657.92, 140,283.88 and 56,337.84 is: 77,743.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,657.92 : 140,283.88 = 56,337.84 : x
  2. Step 2: Convert to fraction form
    101,657.92/140,283.88 = 56,337.84/x
  3. Step 3: Cross multiply
    101,657.92x = 140,283.88 × 56,337.84
  4. Step 4: Simplify right side
    101,657.92x = 7,903,290,786.02
  5. Step 5: Solve for x
    x = 7,903,290,786.02/101,657.92
  6. Step 6: Final answer
    x = 77,743.97

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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.