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Finding the Fourth Proportional to 230,132.96, 317,519.32 and 148,426.64

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Solution

The fourth proportional to 230,132.96, 317,519.32 and 148,426.64 is: 204,787.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,132.96 : 317,519.32 = 148,426.64 : x
  2. Step 2: Convert to fraction form
    230,132.96/317,519.32 = 148,426.64/x
  3. Step 3: Cross multiply
    230,132.96x = 317,519.32 × 148,426.64
  4. Step 4: Simplify right side
    230,132.96x = 47,128,325,802.68
  5. Step 5: Solve for x
    x = 47,128,325,802.68/230,132.96
  6. Step 6: Final answer
    x = 204,787.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.