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Finding the Fourth Proportional to 72,705.70, 101,857.10 and 72,705.70

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Solution

The fourth proportional to 72,705.70, 101,857.10 and 72,705.70 is: 101,857.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,705.70 : 101,857.10 = 72,705.70 : x
  2. Step 2: Convert to fraction form
    72,705.70/101,857.10 = 72,705.70/x
  3. Step 3: Cross multiply
    72,705.70x = 101,857.10 × 72,705.70
  4. Step 4: Simplify right side
    72,705.70x = 7,405,591,755.47
  5. Step 5: Solve for x
    x = 7,405,591,755.47/72,705.70
  6. Step 6: Final answer
    x = 101,857.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.