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Finding the Fourth Proportional to 136,036, 204,065.76 and 37,540

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Solution

The fourth proportional to 136,036, 204,065.76 and 37,540 is: 56,313.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,036 : 204,065.76 = 37,540 : x
  2. Step 2: Convert to fraction form
    136,036/204,065.76 = 37,540/x
  3. Step 3: Cross multiply
    136,036x = 204,065.76 × 37,540
  4. Step 4: Simplify right side
    136,036x = 7,660,628,630.40
  5. Step 5: Solve for x
    x = 7,660,628,630.40/136,036
  6. Step 6: Final answer
    x = 56,313.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.