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Finding the Fourth Proportional to 315,156.04, 434,912.55 and 171,913

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Solution

The fourth proportional to 315,156.04, 434,912.55 and 171,913 is: 237,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,156.04 : 434,912.55 = 171,913 : x
  2. Step 2: Convert to fraction form
    315,156.04/434,912.55 = 171,913/x
  3. Step 3: Cross multiply
    315,156.04x = 434,912.55 × 171,913
  4. Step 4: Simplify right side
    315,156.04x = 74,767,121,208.15
  5. Step 5: Solve for x
    x = 74,767,121,208.15/315,156.04
  6. Step 6: Final answer
    x = 237,238.42

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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.