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Finding the Fourth Proportional to 122,292, 183,468.72 and 34,740

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Solution

The fourth proportional to 122,292, 183,468.72 and 34,740 is: 52,118.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,292 : 183,468.72 = 34,740 : x
  2. Step 2: Convert to fraction form
    122,292/183,468.72 = 34,740/x
  3. Step 3: Cross multiply
    122,292x = 183,468.72 × 34,740
  4. Step 4: Simplify right side
    122,292x = 6,373,703,332.80
  5. Step 5: Solve for x
    x = 6,373,703,332.80/122,292
  6. Step 6: Final answer
    x = 52,118.73

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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.