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Finding the Fourth Proportional to 267,641, 369,344.58 and 148,409

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Solution

The fourth proportional to 267,641, 369,344.58 and 148,409 is: 204,804.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,641 : 369,344.58 = 148,409 : x
  2. Step 2: Convert to fraction form
    267,641/369,344.58 = 148,409/x
  3. Step 3: Cross multiply
    267,641x = 369,344.58 × 148,409
  4. Step 4: Simplify right side
    267,641x = 54,814,059,773.22
  5. Step 5: Solve for x
    x = 54,814,059,773.22/267,641
  6. Step 6: Final answer
    x = 204,804.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.