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Finding the Fourth Proportional to 150,474.83, 225,646.63 and 56,914.97

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Solution

The fourth proportional to 150,474.83, 225,646.63 and 56,914.97 is: 85,347.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,474.83 : 225,646.63 = 56,914.97 : x
  2. Step 2: Convert to fraction form
    150,474.83/225,646.63 = 56,914.97/x
  3. Step 3: Cross multiply
    150,474.83x = 225,646.63 × 56,914.97
  4. Step 4: Simplify right side
    150,474.83x = 12,842,670,892.48
  5. Step 5: Solve for x
    x = 12,842,670,892.48/150,474.83
  6. Step 6: Final answer
    x = 85,347.64

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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.