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Finding the Fourth Proportional to 194,304.32, 268,153.68 and 108,269

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Solution

The fourth proportional to 194,304.32, 268,153.68 and 108,269 is: 149,418.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,304.32 : 268,153.68 = 108,269 : x
  2. Step 2: Convert to fraction form
    194,304.32/268,153.68 = 108,269/x
  3. Step 3: Cross multiply
    194,304.32x = 268,153.68 × 108,269
  4. Step 4: Simplify right side
    194,304.32x = 29,032,730,779.92
  5. Step 5: Solve for x
    x = 29,032,730,779.92/194,304.32
  6. Step 6: Final answer
    x = 149,418.86

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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.