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Finding the Fourth Proportional to 356,268.48, 534,389.76 and 106,944

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Solution

The fourth proportional to 356,268.48, 534,389.76 and 106,944 is: 160,412.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,268.48 : 534,389.76 = 106,944 : x
  2. Step 2: Convert to fraction form
    356,268.48/534,389.76 = 106,944/x
  3. Step 3: Cross multiply
    356,268.48x = 534,389.76 × 106,944
  4. Step 4: Simplify right side
    356,268.48x = 57,149,778,493.44
  5. Step 5: Solve for x
    x = 57,149,778,493.44/356,268.48
  6. Step 6: Final answer
    x = 160,412.11

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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.