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Finding the Fourth Proportional to 150,383, 225,574.50 and 45,202.07

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Solution

The fourth proportional to 150,383, 225,574.50 and 45,202.07 is: 67,803.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,383 : 225,574.50 = 45,202.07 : x
  2. Step 2: Convert to fraction form
    150,383/225,574.50 = 45,202.07/x
  3. Step 3: Cross multiply
    150,383x = 225,574.50 × 45,202.07
  4. Step 4: Simplify right side
    150,383x = 10,196,434,339.22
  5. Step 5: Solve for x
    x = 10,196,434,339.22/150,383
  6. Step 6: Final answer
    x = 67,803.11

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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.