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Finding the Fourth Proportional to 136,533, 204,834.07 and 38,037

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Solution

The fourth proportional to 136,533, 204,834.07 and 38,037 is: 57,065.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,533 : 204,834.07 = 38,037 : x
  2. Step 2: Convert to fraction form
    136,533/204,834.07 = 38,037/x
  3. Step 3: Cross multiply
    136,533x = 204,834.07 × 38,037
  4. Step 4: Simplify right side
    136,533x = 7,791,273,520.59
  5. Step 5: Solve for x
    x = 7,791,273,520.59/136,533
  6. Step 6: Final answer
    x = 57,065.13

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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.