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Finding the Fourth Proportional to 101,497.79, 152,302.41 and 51,582.20

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Solution

The fourth proportional to 101,497.79, 152,302.41 and 51,582.20 is: 77,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,497.79 : 152,302.41 = 51,582.20 : x
  2. Step 2: Convert to fraction form
    101,497.79/152,302.41 = 51,582.20/x
  3. Step 3: Cross multiply
    101,497.79x = 152,302.41 × 51,582.20
  4. Step 4: Simplify right side
    101,497.79x = 7,856,092,611.59
  5. Step 5: Solve for x
    x = 7,856,092,611.59/101,497.79
  6. Step 6: Final answer
    x = 77,401.61

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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.