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Finding the Fourth Proportional to 348,921, 523,049.12 and 112,097.48

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Solution

The fourth proportional to 348,921, 523,049.12 and 112,097.48 is: 168,039.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,921 : 523,049.12 = 112,097.48 : x
  2. Step 2: Convert to fraction form
    348,921/523,049.12 = 112,097.48/x
  3. Step 3: Cross multiply
    348,921x = 523,049.12 × 112,097.48
  4. Step 4: Simplify right side
    348,921x = 58,632,488,268.22
  5. Step 5: Solve for x
    x = 58,632,488,268.22/348,921
  6. Step 6: Final answer
    x = 168,039.44

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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.