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Finding the Fourth Proportional to 122,223.94, 183,229.95 and 47,292.53

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Solution

The fourth proportional to 122,223.94, 183,229.95 and 47,292.53 is: 70,897.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,223.94 : 183,229.95 = 47,292.53 : x
  2. Step 2: Convert to fraction form
    122,223.94/183,229.95 = 47,292.53/x
  3. Step 3: Cross multiply
    122,223.94x = 183,229.95 × 47,292.53
  4. Step 4: Simplify right side
    122,223.94x = 8,665,406,902.45
  5. Step 5: Solve for x
    x = 8,665,406,902.45/122,223.94
  6. Step 6: Final answer
    x = 70,897.79

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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.