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Finding the Fourth Proportional to 253,177.74, 379,953.51 and 120,058.44

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Solution

The fourth proportional to 253,177.74, 379,953.51 and 120,058.44 is: 180,176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,177.74 : 379,953.51 = 120,058.44 : x
  2. Step 2: Convert to fraction form
    253,177.74/379,953.51 = 120,058.44/x
  3. Step 3: Cross multiply
    253,177.74x = 379,953.51 × 120,058.44
  4. Step 4: Simplify right side
    253,177.74x = 45,616,625,683.12
  5. Step 5: Solve for x
    x = 45,616,625,683.12/253,177.74
  6. Step 6: Final answer
    x = 180,176.29

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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.