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Finding the Fourth Proportional to 189,814.84, 261,944.40 and 114,377.92

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Solution

The fourth proportional to 189,814.84, 261,944.40 and 114,377.92 is: 157,841.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,814.84 : 261,944.40 = 114,377.92 : x
  2. Step 2: Convert to fraction form
    189,814.84/261,944.40 = 114,377.92/x
  3. Step 3: Cross multiply
    189,814.84x = 261,944.40 × 114,377.92
  4. Step 4: Simplify right side
    189,814.84x = 29,960,655,627.65
  5. Step 5: Solve for x
    x = 29,960,655,627.65/189,814.84
  6. Step 6: Final answer
    x = 157,841.48

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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.