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Finding the Fourth Proportional to 297,143.52, 410,055.67 and 161,177.13

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Solution

The fourth proportional to 297,143.52, 410,055.67 and 161,177.13 is: 222,423.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,143.52 : 410,055.67 = 161,177.13 : x
  2. Step 2: Convert to fraction form
    297,143.52/410,055.67 = 161,177.13/x
  3. Step 3: Cross multiply
    297,143.52x = 410,055.67 × 161,177.13
  4. Step 4: Simplify right side
    297,143.52x = 66,091,596,030.83
  5. Step 5: Solve for x
    x = 66,091,596,030.83/297,143.52
  6. Step 6: Final answer
    x = 222,423.14

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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.