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Finding the Fourth Proportional to 194,713.12, 268,731 and 114,160.48

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Solution

The fourth proportional to 194,713.12, 268,731 and 114,160.48 is: 157,557.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,713.12 : 268,731 = 114,160.48 : x
  2. Step 2: Convert to fraction form
    194,713.12/268,731 = 114,160.48/x
  3. Step 3: Cross multiply
    194,713.12x = 268,731 × 114,160.48
  4. Step 4: Simplify right side
    194,713.12x = 30,678,459,950.88
  5. Step 5: Solve for x
    x = 30,678,459,950.88/194,713.12
  6. Step 6: Final answer
    x = 157,557.23

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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.