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Finding the Fourth Proportional to 122,506.09, 183,513.09 and 55,854.53

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Solution

The fourth proportional to 122,506.09, 183,513.09 and 55,854.53 is: 83,669.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,506.09 : 183,513.09 = 55,854.53 : x
  2. Step 2: Convert to fraction form
    122,506.09/183,513.09 = 55,854.53/x
  3. Step 3: Cross multiply
    122,506.09x = 183,513.09 × 55,854.53
  4. Step 4: Simplify right side
    122,506.09x = 10,250,036,951.95
  5. Step 5: Solve for x
    x = 10,250,036,951.95/122,506.09
  6. Step 6: Final answer
    x = 83,669.61

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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.