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Finding the Fourth Proportional to 252,853.74, 349,007.67 and 157,303.44

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Solution

The fourth proportional to 252,853.74, 349,007.67 and 157,303.44 is: 217,121.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,853.74 : 349,007.67 = 157,303.44 : x
  2. Step 2: Convert to fraction form
    252,853.74/349,007.67 = 157,303.44/x
  3. Step 3: Cross multiply
    252,853.74x = 349,007.67 × 157,303.44
  4. Step 4: Simplify right side
    252,853.74x = 54,900,107,077.38
  5. Step 5: Solve for x
    x = 54,900,107,077.38/252,853.74
  6. Step 6: Final answer
    x = 217,121.99

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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.