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Finding the Fourth Proportional to 267,269.16, 368,821.56 and 146,411.64

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Solution

The fourth proportional to 267,269.16, 368,821.56 and 146,411.64 is: 202,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,269.16 : 368,821.56 = 146,411.64 : x
  2. Step 2: Convert to fraction form
    267,269.16/368,821.56 = 146,411.64/x
  3. Step 3: Cross multiply
    267,269.16x = 368,821.56 × 146,411.64
  4. Step 4: Simplify right side
    267,269.16x = 53,999,769,466.96
  5. Step 5: Solve for x
    x = 53,999,769,466.96/267,269.16
  6. Step 6: Final answer
    x = 202,042.65

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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.