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Finding the Fourth Proportional to 215,447.71, 297,097.32 and 142,825.34

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Solution

The fourth proportional to 215,447.71, 297,097.32 and 142,825.34 is: 196,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,447.71 : 297,097.32 = 142,825.34 : x
  2. Step 2: Convert to fraction form
    215,447.71/297,097.32 = 142,825.34/x
  3. Step 3: Cross multiply
    215,447.71x = 297,097.32 × 142,825.34
  4. Step 4: Simplify right side
    215,447.71x = 42,433,024,256.60
  5. Step 5: Solve for x
    x = 42,433,024,256.60/215,447.71
  6. Step 6: Final answer
    x = 196,952.78

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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.