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Finding the Fourth Proportional to 135,097.16, 202,479.64 and 75,808.28

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Solution

The fourth proportional to 135,097.16, 202,479.64 and 75,808.28 is: 113,619.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,097.16 : 202,479.64 = 75,808.28 : x
  2. Step 2: Convert to fraction form
    135,097.16/202,479.64 = 75,808.28/x
  3. Step 3: Cross multiply
    135,097.16x = 202,479.64 × 75,808.28
  4. Step 4: Simplify right side
    135,097.16x = 15,349,633,243.42
  5. Step 5: Solve for x
    x = 15,349,633,243.42/135,097.16
  6. Step 6: Final answer
    x = 113,619.21

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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.