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Finding the Fourth Proportional to 122,417.88, 183,683.35 and 55,878.41

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Solution

The fourth proportional to 122,417.88, 183,683.35 and 55,878.41 is: 83,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,417.88 : 183,683.35 = 55,878.41 : x
  2. Step 2: Convert to fraction form
    122,417.88/183,683.35 = 55,878.41/x
  3. Step 3: Cross multiply
    122,417.88x = 183,683.35 × 55,878.41
  4. Step 4: Simplify right side
    122,417.88x = 10,263,932,723.00
  5. Step 5: Solve for x
    x = 10,263,932,723.00/122,417.88
  6. Step 6: Final answer
    x = 83,843.41

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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.