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Finding the Fourth Proportional to 173,097.64, 259,684.12 and 54,770

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Solution

The fourth proportional to 173,097.64, 259,684.12 and 54,770 is: 82,166.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,097.64 : 259,684.12 = 54,770 : x
  2. Step 2: Convert to fraction form
    173,097.64/259,684.12 = 54,770/x
  3. Step 3: Cross multiply
    173,097.64x = 259,684.12 × 54,770
  4. Step 4: Simplify right side
    173,097.64x = 14,222,899,252.40
  5. Step 5: Solve for x
    x = 14,222,899,252.40/173,097.64
  6. Step 6: Final answer
    x = 82,166.92

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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.