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Finding the Fourth Proportional to 150,076.56, 225,114.84 and 61,314.60

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Solution

The fourth proportional to 150,076.56, 225,114.84 and 61,314.60 is: 91,971.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,076.56 : 225,114.84 = 61,314.60 : x
  2. Step 2: Convert to fraction form
    150,076.56/225,114.84 = 61,314.60/x
  3. Step 3: Cross multiply
    150,076.56x = 225,114.84 × 61,314.60
  4. Step 4: Simplify right side
    150,076.56x = 13,802,826,368.66
  5. Step 5: Solve for x
    x = 13,802,826,368.66/150,076.56
  6. Step 6: Final answer
    x = 91,971.90

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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.