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Finding the Fourth Proportional to 301,935.32, 452,977.12 and 150,204

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Solution

The fourth proportional to 301,935.32, 452,977.12 and 150,204 is: 225,342.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,935.32 : 452,977.12 = 150,204 : x
  2. Step 2: Convert to fraction form
    301,935.32/452,977.12 = 150,204/x
  3. Step 3: Cross multiply
    301,935.32x = 452,977.12 × 150,204
  4. Step 4: Simplify right side
    301,935.32x = 68,038,975,332.48
  5. Step 5: Solve for x
    x = 68,038,975,332.48/301,935.32
  6. Step 6: Final answer
    x = 225,342.88

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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.