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Finding the Fourth Proportional to 150,460.64, 225,688.80 and 50,642.72

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Solution

The fourth proportional to 150,460.64, 225,688.80 and 50,642.72 is: 75,963.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,460.64 : 225,688.80 = 50,642.72 : x
  2. Step 2: Convert to fraction form
    150,460.64/225,688.80 = 50,642.72/x
  3. Step 3: Cross multiply
    150,460.64x = 225,688.80 × 50,642.72
  4. Step 4: Simplify right side
    150,460.64x = 11,429,494,705.54
  5. Step 5: Solve for x
    x = 11,429,494,705.54/150,460.64
  6. Step 6: Final answer
    x = 75,963.35

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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.