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Finding the Fourth Proportional to 175,713.10, 242,523.95 and 137,396.86

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Solution

The fourth proportional to 175,713.10, 242,523.95 and 137,396.86 is: 189,638.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,713.10 : 242,523.95 = 137,396.86 : x
  2. Step 2: Convert to fraction form
    175,713.10/242,523.95 = 137,396.86/x
  3. Step 3: Cross multiply
    175,713.10x = 242,523.95 × 137,396.86
  4. Step 4: Simplify right side
    175,713.10x = 33,322,029,204.80
  5. Step 5: Solve for x
    x = 33,322,029,204.80/175,713.10
  6. Step 6: Final answer
    x = 189,638.84

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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.