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Finding the Fourth Proportional to 172,048.69, 257,781.75 and 105,349.51

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Solution

The fourth proportional to 172,048.69, 257,781.75 and 105,349.51 is: 157,845.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,048.69 : 257,781.75 = 105,349.51 : x
  2. Step 2: Convert to fraction form
    172,048.69/257,781.75 = 105,349.51/x
  3. Step 3: Cross multiply
    172,048.69x = 257,781.75 × 105,349.51
  4. Step 4: Simplify right side
    172,048.69x = 27,157,181,049.44
  5. Step 5: Solve for x
    x = 27,157,181,049.44/172,048.69
  6. Step 6: Final answer
    x = 157,845.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.