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Finding the Fourth Proportional to 136,541, 204,846.06 and 38,045

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Solution

The fourth proportional to 136,541, 204,846.06 and 38,045 is: 57,077.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,541 : 204,846.06 = 38,045 : x
  2. Step 2: Convert to fraction form
    136,541/204,846.06 = 38,045/x
  3. Step 3: Cross multiply
    136,541x = 204,846.06 × 38,045
  4. Step 4: Simplify right side
    136,541x = 7,793,368,352.70
  5. Step 5: Solve for x
    x = 7,793,368,352.70/136,541
  6. Step 6: Final answer
    x = 57,077.13

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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.