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Finding the Fourth Proportional to 180,753.71, 269,514.55 and 175,788.01

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Solution

The fourth proportional to 180,753.71, 269,514.55 and 175,788.01 is: 262,110.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,753.71 : 269,514.55 = 175,788.01 : x
  2. Step 2: Convert to fraction form
    180,753.71/269,514.55 = 175,788.01/x
  3. Step 3: Cross multiply
    180,753.71x = 269,514.55 × 175,788.01
  4. Step 4: Simplify right side
    180,753.71x = 47,377,425,297.29
  5. Step 5: Solve for x
    x = 47,377,425,297.29/180,753.71
  6. Step 6: Final answer
    x = 262,110.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.