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Finding the Fourth Proportional to 267,142.68, 368,657.52 and 146,291.88

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Solution

The fourth proportional to 267,142.68, 368,657.52 and 146,291.88 is: 201,883.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,142.68 : 368,657.52 = 146,291.88 : x
  2. Step 2: Convert to fraction form
    267,142.68/368,657.52 = 146,291.88/x
  3. Step 3: Cross multiply
    267,142.68x = 368,657.52 × 146,291.88
  4. Step 4: Simplify right side
    267,142.68x = 53,931,601,676.94
  5. Step 5: Solve for x
    x = 53,931,601,676.94/267,142.68
  6. Step 6: Final answer
    x = 201,883.13

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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.