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Finding the Fourth Proportional to 194,617.76, 268,572.38 and 105,193.76

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Solution

The fourth proportional to 194,617.76, 268,572.38 and 105,193.76 is: 145,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,617.76 : 268,572.38 = 105,193.76 : x
  2. Step 2: Convert to fraction form
    194,617.76/268,572.38 = 105,193.76/x
  3. Step 3: Cross multiply
    194,617.76x = 268,572.38 × 105,193.76
  4. Step 4: Simplify right side
    194,617.76x = 28,252,138,484.35
  5. Step 5: Solve for x
    x = 28,252,138,484.35/194,617.76
  6. Step 6: Final answer
    x = 145,167.32

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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.