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Finding the Fourth Proportional to 122,133.96, 183,247.08 and 47,258.61

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Solution

The fourth proportional to 122,133.96, 183,247.08 and 47,258.61 is: 70,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,133.96 : 183,247.08 = 47,258.61 : x
  2. Step 2: Convert to fraction form
    122,133.96/183,247.08 = 47,258.61/x
  3. Step 3: Cross multiply
    122,133.96x = 183,247.08 × 47,258.61
  4. Step 4: Simplify right side
    122,133.96x = 8,660,002,287.36
  5. Step 5: Solve for x
    x = 8,660,002,287.36/122,133.96
  6. Step 6: Final answer
    x = 70,905.77

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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.