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Finding the Fourth Proportional to 101,889.22, 152,813.56 and 51,274.74

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Solution

The fourth proportional to 101,889.22, 152,813.56 and 51,274.74 is: 76,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,889.22 : 152,813.56 = 51,274.74 : x
  2. Step 2: Convert to fraction form
    101,889.22/152,813.56 = 51,274.74/x
  3. Step 3: Cross multiply
    101,889.22x = 152,813.56 × 51,274.74
  4. Step 4: Simplify right side
    101,889.22x = 7,835,475,557.47
  5. Step 5: Solve for x
    x = 7,835,475,557.47/101,889.22
  6. Step 6: Final answer
    x = 76,901.91

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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.