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Finding the Fourth Proportional to 150,300, 225,484.56 and 51,804

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Solution

The fourth proportional to 150,300, 225,484.56 and 51,804 is: 77,717.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,300 : 225,484.56 = 51,804 : x
  2. Step 2: Convert to fraction form
    150,300/225,484.56 = 51,804/x
  3. Step 3: Cross multiply
    150,300x = 225,484.56 × 51,804
  4. Step 4: Simplify right side
    150,300x = 11,681,002,146.24
  5. Step 5: Solve for x
    x = 11,681,002,146.24/150,300
  6. Step 6: Final answer
    x = 77,717.91

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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.