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Finding the Fourth Proportional to 200,853.66, 301,279.18 and 51,092.67

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Solution

The fourth proportional to 200,853.66, 301,279.18 and 51,092.67 is: 76,638.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,853.66 : 301,279.18 = 51,092.67 : x
  2. Step 2: Convert to fraction form
    200,853.66/301,279.18 = 51,092.67/x
  3. Step 3: Cross multiply
    200,853.66x = 301,279.18 × 51,092.67
  4. Step 4: Simplify right side
    200,853.66x = 15,393,157,721.61
  5. Step 5: Solve for x
    x = 15,393,157,721.61/200,853.66
  6. Step 6: Final answer
    x = 76,638.67

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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.