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Finding the Fourth Proportional to 136,683.33, 205,026.35 and 47,938.97

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Solution

The fourth proportional to 136,683.33, 205,026.35 and 47,938.97 is: 71,908.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,683.33 : 205,026.35 = 47,938.97 : x
  2. Step 2: Convert to fraction form
    136,683.33/205,026.35 = 47,938.97/x
  3. Step 3: Cross multiply
    136,683.33x = 205,026.35 × 47,938.97
  4. Step 4: Simplify right side
    136,683.33x = 9,828,750,777.03
  5. Step 5: Solve for x
    x = 9,828,750,777.03/136,683.33
  6. Step 6: Final answer
    x = 71,908.92

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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.