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Finding the Fourth Proportional to 150,491.60, 225,823.80 and 57,064.40

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Solution

The fourth proportional to 150,491.60, 225,823.80 and 57,064.40 is: 85,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,491.60 : 225,823.80 = 57,064.40 : x
  2. Step 2: Convert to fraction form
    150,491.60/225,823.80 = 57,064.40/x
  3. Step 3: Cross multiply
    150,491.60x = 225,823.80 × 57,064.40
  4. Step 4: Simplify right side
    150,491.60x = 12,886,499,652.72
  5. Step 5: Solve for x
    x = 12,886,499,652.72/150,491.60
  6. Step 6: Final answer
    x = 85,629.36

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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.