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Finding the Fourth Proportional to 301,129.38, 415,557.95 and 173,804.94

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Solution

The fourth proportional to 301,129.38, 415,557.95 and 173,804.94 is: 239,850.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,129.38 : 415,557.95 = 173,804.94 : x
  2. Step 2: Convert to fraction form
    301,129.38/415,557.95 = 173,804.94/x
  3. Step 3: Cross multiply
    301,129.38x = 415,557.95 × 173,804.94
  4. Step 4: Simplify right side
    301,129.38x = 72,226,023,697.25
  5. Step 5: Solve for x
    x = 72,226,023,697.25/301,129.38
  6. Step 6: Final answer
    x = 239,850.47

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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.