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Finding the Fourth Proportional to 150,417.66, 225,485.16 and 50,507.77

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Solution

The fourth proportional to 150,417.66, 225,485.16 and 50,507.77 is: 75,714.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,417.66 : 225,485.16 = 50,507.77 : x
  2. Step 2: Convert to fraction form
    150,417.66/225,485.16 = 50,507.77/x
  3. Step 3: Cross multiply
    150,417.66x = 225,485.16 × 50,507.77
  4. Step 4: Simplify right side
    150,417.66x = 11,388,752,599.69
  5. Step 5: Solve for x
    x = 11,388,752,599.69/150,417.66
  6. Step 6: Final answer
    x = 75,714.20

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