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Finding the Fourth Proportional to 354,033.36, 531,034.32 and 114,141.84

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Solution

The fourth proportional to 354,033.36, 531,034.32 and 114,141.84 is: 171,207.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,033.36 : 531,034.32 = 114,141.84 : x
  2. Step 2: Convert to fraction form
    354,033.36/531,034.32 = 114,141.84/x
  3. Step 3: Cross multiply
    354,033.36x = 531,034.32 × 114,141.84
  4. Step 4: Simplify right side
    354,033.36x = 60,613,234,387.95
  5. Step 5: Solve for x
    x = 60,613,234,387.95/354,033.36
  6. Step 6: Final answer
    x = 171,207.69

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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.