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Finding the Fourth Proportional to 267,205.35, 368,729.32 and 146,344.06

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Solution

The fourth proportional to 267,205.35, 368,729.32 and 146,344.06 is: 201,947.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,205.35 : 368,729.32 = 146,344.06 : x
  2. Step 2: Convert to fraction form
    267,205.35/368,729.32 = 146,344.06/x
  3. Step 3: Cross multiply
    267,205.35x = 368,729.32 × 146,344.06
  4. Step 4: Simplify right side
    267,205.35x = 53,961,346,510.88
  5. Step 5: Solve for x
    x = 53,961,346,510.88/267,205.35
  6. Step 6: Final answer
    x = 201,947.10

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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.