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Finding the Fourth Proportional to 150,270.50, 207,379.78 and 83,202.50

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Solution

The fourth proportional to 150,270.50, 207,379.78 and 83,202.50 is: 114,823.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,270.50 : 207,379.78 = 83,202.50 : x
  2. Step 2: Convert to fraction form
    150,270.50/207,379.78 = 83,202.50/x
  3. Step 3: Cross multiply
    150,270.50x = 207,379.78 × 83,202.50
  4. Step 4: Simplify right side
    150,270.50x = 17,254,516,145.45
  5. Step 5: Solve for x
    x = 17,254,516,145.45/150,270.50
  6. Step 6: Final answer
    x = 114,823.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.