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Finding the Fourth Proportional to 227,197.31, 313,445.09 and 136,575.32

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Solution

The fourth proportional to 227,197.31, 313,445.09 and 136,575.32 is: 188,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,197.31 : 313,445.09 = 136,575.32 : x
  2. Step 2: Convert to fraction form
    227,197.31/313,445.09 = 136,575.32/x
  3. Step 3: Cross multiply
    227,197.31x = 313,445.09 × 136,575.32
  4. Step 4: Simplify right side
    227,197.31x = 42,808,862,243.39
  5. Step 5: Solve for x
    x = 42,808,862,243.39/227,197.31
  6. Step 6: Final answer
    x = 188,421.52

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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.