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Finding the Fourth Proportional to 301,093.83, 415,390.95 and 173,744.82

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Solution

The fourth proportional to 301,093.83, 415,390.95 and 173,744.82 is: 239,699.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,093.83 : 415,390.95 = 173,744.82 : x
  2. Step 2: Convert to fraction form
    301,093.83/415,390.95 = 173,744.82/x
  3. Step 3: Cross multiply
    301,093.83x = 415,390.95 × 173,744.82
  4. Step 4: Simplify right side
    301,093.83x = 72,172,025,837.38
  5. Step 5: Solve for x
    x = 72,172,025,837.38/301,093.83
  6. Step 6: Final answer
    x = 239,699.45

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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.