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Finding the Fourth Proportional to 136,706.94, 205,077.42 and 57,801.20

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Solution

The fourth proportional to 136,706.94, 205,077.42 and 57,801.20 is: 86,708.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,706.94 : 205,077.42 = 57,801.20 : x
  2. Step 2: Convert to fraction form
    136,706.94/205,077.42 = 57,801.20/x
  3. Step 3: Cross multiply
    136,706.94x = 205,077.42 × 57,801.20
  4. Step 4: Simplify right side
    136,706.94x = 11,853,719,943.52
  5. Step 5: Solve for x
    x = 11,853,719,943.52/136,706.94
  6. Step 6: Final answer
    x = 86,708.98

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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.