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Finding the Fourth Proportional to 122,265.84, 183,399.40 and 55,659.40

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Solution

The fourth proportional to 122,265.84, 183,399.40 and 55,659.40 is: 83,489.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,265.84 : 183,399.40 = 55,659.40 : x
  2. Step 2: Convert to fraction form
    122,265.84/183,399.40 = 55,659.40/x
  3. Step 3: Cross multiply
    122,265.84x = 183,399.40 × 55,659.40
  4. Step 4: Simplify right side
    122,265.84x = 10,207,900,564.36
  5. Step 5: Solve for x
    x = 10,207,900,564.36/122,265.84
  6. Step 6: Final answer
    x = 83,489.39

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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.