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Finding the Fourth Proportional to 135,199.71, 202,784.04 and 35,369.52

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Solution

The fourth proportional to 135,199.71, 202,784.04 and 35,369.52 is: 53,050.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,199.71 : 202,784.04 = 35,369.52 : x
  2. Step 2: Convert to fraction form
    135,199.71/202,784.04 = 35,369.52/x
  3. Step 3: Cross multiply
    135,199.71x = 202,784.04 × 35,369.52
  4. Step 4: Simplify right side
    135,199.71x = 7,172,374,158.46
  5. Step 5: Solve for x
    x = 7,172,374,158.46/135,199.71
  6. Step 6: Final answer
    x = 53,050.22

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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.