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Finding the Fourth Proportional to 173,256, 259,987.68 and 74,760

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Solution

The fourth proportional to 173,256, 259,987.68 and 74,760 is: 112,184.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,256 : 259,987.68 = 74,760 : x
  2. Step 2: Convert to fraction form
    173,256/259,987.68 = 74,760/x
  3. Step 3: Cross multiply
    173,256x = 259,987.68 × 74,760
  4. Step 4: Simplify right side
    173,256x = 19,436,678,956.80
  5. Step 5: Solve for x
    x = 19,436,678,956.80/173,256
  6. Step 6: Final answer
    x = 112,184.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.