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Finding the Fourth Proportional to 267,319.68, 368,886.24 and 146,438.16

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Solution

The fourth proportional to 267,319.68, 368,886.24 and 146,438.16 is: 202,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,319.68 : 368,886.24 = 146,438.16 : x
  2. Step 2: Convert to fraction form
    267,319.68/368,886.24 = 146,438.16/x
  3. Step 3: Cross multiply
    267,319.68x = 368,886.24 × 146,438.16
  4. Step 4: Simplify right side
    267,319.68x = 54,019,022,234.92
  5. Step 5: Solve for x
    x = 54,019,022,234.92/267,319.68
  6. Step 6: Final answer
    x = 202,076.49

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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.