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Finding the Fourth Proportional to 122,352.84, 183,600.78 and 51,269.40

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Solution

The fourth proportional to 122,352.84, 183,600.78 and 51,269.40 is: 76,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,352.84 : 183,600.78 = 51,269.40 : x
  2. Step 2: Convert to fraction form
    122,352.84/183,600.78 = 51,269.40/x
  3. Step 3: Cross multiply
    122,352.84x = 183,600.78 × 51,269.40
  4. Step 4: Simplify right side
    122,352.84x = 9,413,101,830.13
  5. Step 5: Solve for x
    x = 9,413,101,830.13/122,352.84
  6. Step 6: Final answer
    x = 76,934.07

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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.