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Finding the Fourth Proportional to 215,643.06, 323,420.04 and 57,834

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Solution

The fourth proportional to 215,643.06, 323,420.04 and 57,834 is: 86,739.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,643.06 : 323,420.04 = 57,834 : x
  2. Step 2: Convert to fraction form
    215,643.06/323,420.04 = 57,834/x
  3. Step 3: Cross multiply
    215,643.06x = 323,420.04 × 57,834
  4. Step 4: Simplify right side
    215,643.06x = 18,704,674,593.36
  5. Step 5: Solve for x
    x = 18,704,674,593.36/215,643.06
  6. Step 6: Final answer
    x = 86,739.05

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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.