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Finding the Fourth Proportional to 129,237, 193,855.50 and 35,742.75

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Solution

The fourth proportional to 129,237, 193,855.50 and 35,742.75 is: 53,614.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,237 : 193,855.50 = 35,742.75 : x
  2. Step 2: Convert to fraction form
    129,237/193,855.50 = 35,742.75/x
  3. Step 3: Cross multiply
    129,237x = 193,855.50 × 35,742.75
  4. Step 4: Simplify right side
    129,237x = 6,928,928,672.63
  5. Step 5: Solve for x
    x = 6,928,928,672.63/129,237
  6. Step 6: Final answer
    x = 53,614.13

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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.