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Finding the Fourth Proportional to 101,383.84, 152,104.92 and 51,461.92

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Solution

The fourth proportional to 101,383.84, 152,104.92 and 51,461.92 is: 77,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,383.84 : 152,104.92 = 51,461.92 : x
  2. Step 2: Convert to fraction form
    101,383.84/152,104.92 = 51,461.92/x
  3. Step 3: Cross multiply
    101,383.84x = 152,104.92 × 51,461.92
  4. Step 4: Simplify right side
    101,383.84x = 7,827,611,224.65
  5. Step 5: Solve for x
    x = 7,827,611,224.65/101,383.84
  6. Step 6: Final answer
    x = 77,207.68

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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.