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Finding the Fourth Proportional to 101,913.66, 152,800.71 and 51,896.94

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Solution

The fourth proportional to 101,913.66, 152,800.71 and 51,896.94 is: 77,809.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,913.66 : 152,800.71 = 51,896.94 : x
  2. Step 2: Convert to fraction form
    101,913.66/152,800.71 = 51,896.94/x
  3. Step 3: Cross multiply
    101,913.66x = 152,800.71 × 51,896.94
  4. Step 4: Simplify right side
    101,913.66x = 7,929,889,278.83
  5. Step 5: Solve for x
    x = 7,929,889,278.83/101,913.66
  6. Step 6: Final answer
    x = 77,809.88

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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.