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Finding the Fourth Proportional to 263,981.82, 364,199.45 and 173,386.90

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Solution

The fourth proportional to 263,981.82, 364,199.45 and 173,386.90 is: 239,211.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,981.82 : 364,199.45 = 173,386.90 : x
  2. Step 2: Convert to fraction form
    263,981.82/364,199.45 = 173,386.90/x
  3. Step 3: Cross multiply
    263,981.82x = 364,199.45 × 173,386.90
  4. Step 4: Simplify right side
    263,981.82x = 63,147,413,617.21
  5. Step 5: Solve for x
    x = 63,147,413,617.21/263,981.82
  6. Step 6: Final answer
    x = 239,211.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.