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Finding the Fourth Proportional to 267,411.36, 401,013.36 and 142,684.32

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Solution

The fourth proportional to 267,411.36, 401,013.36 and 142,684.32 is: 213,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,411.36 : 401,013.36 = 142,684.32 : x
  2. Step 2: Convert to fraction form
    267,411.36/401,013.36 = 142,684.32/x
  3. Step 3: Cross multiply
    267,411.36x = 401,013.36 × 142,684.32
  4. Step 4: Simplify right side
    267,411.36x = 57,218,318,582.52
  5. Step 5: Solve for x
    x = 57,218,318,582.52/267,411.36
  6. Step 6: Final answer
    x = 213,971.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.