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Finding the Fourth Proportional to 136,266, 204,410.52 and 37,770

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Solution

The fourth proportional to 136,266, 204,410.52 and 37,770 is: 56,658.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,266 : 204,410.52 = 37,770 : x
  2. Step 2: Convert to fraction form
    136,266/204,410.52 = 37,770/x
  3. Step 3: Cross multiply
    136,266x = 204,410.52 × 37,770
  4. Step 4: Simplify right side
    136,266x = 7,720,585,340.40
  5. Step 5: Solve for x
    x = 7,720,585,340.40/136,266
  6. Step 6: Final answer
    x = 56,658.19

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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.