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Finding the Fourth Proportional to 101,065.60, 151,501.20 and 78,563.80

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Solution

The fourth proportional to 101,065.60, 151,501.20 and 78,563.80 is: 117,770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,065.60 : 151,501.20 = 78,563.80 : x
  2. Step 2: Convert to fraction form
    101,065.60/151,501.20 = 78,563.80/x
  3. Step 3: Cross multiply
    101,065.60x = 151,501.20 × 78,563.80
  4. Step 4: Simplify right side
    101,065.60x = 11,902,509,976.56
  5. Step 5: Solve for x
    x = 11,902,509,976.56/101,065.60
  6. Step 6: Final answer
    x = 117,770.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.