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Finding the Fourth Proportional to 295,255.95, 407,351.39 and 166,168.28

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Solution

The fourth proportional to 295,255.95, 407,351.39 and 166,168.28 is: 229,254.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,255.95 : 407,351.39 = 166,168.28 : x
  2. Step 2: Convert to fraction form
    295,255.95/407,351.39 = 166,168.28/x
  3. Step 3: Cross multiply
    295,255.95x = 407,351.39 × 166,168.28
  4. Step 4: Simplify right side
    295,255.95x = 67,688,876,964.31
  5. Step 5: Solve for x
    x = 67,688,876,964.31/295,255.95
  6. Step 6: Final answer
    x = 229,254.91

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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.