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Finding the Fourth Proportional to 267,739.31, 369,485.12 and 146,886.77

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Solution

The fourth proportional to 267,739.31, 369,485.12 and 146,886.77 is: 202,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,739.31 : 369,485.12 = 146,886.77 : x
  2. Step 2: Convert to fraction form
    267,739.31/369,485.12 = 146,886.77/x
  3. Step 3: Cross multiply
    267,739.31x = 369,485.12 × 146,886.77
  4. Step 4: Simplify right side
    267,739.31x = 54,272,477,130.79
  5. Step 5: Solve for x
    x = 54,272,477,130.79/267,739.31
  6. Step 6: Final answer
    x = 202,706.42

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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.