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Finding the Fourth Proportional to 301,181.50, 415,623 and 172,111.78

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Solution

The fourth proportional to 301,181.50, 415,623 and 172,111.78 is: 237,509.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,181.50 : 415,623 = 172,111.78 : x
  2. Step 2: Convert to fraction form
    301,181.50/415,623 = 172,111.78/x
  3. Step 3: Cross multiply
    301,181.50x = 415,623 × 172,111.78
  4. Step 4: Simplify right side
    301,181.50x = 71,533,614,338.94
  5. Step 5: Solve for x
    x = 71,533,614,338.94/301,181.50
  6. Step 6: Final answer
    x = 237,509.99

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