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Finding the Fourth Proportional to 194,022.32, 267,746.84 and 113,497.52

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Solution

The fourth proportional to 194,022.32, 267,746.84 and 113,497.52 is: 156,624.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,022.32 : 267,746.84 = 113,497.52 : x
  2. Step 2: Convert to fraction form
    194,022.32/267,746.84 = 113,497.52/x
  3. Step 3: Cross multiply
    194,022.32x = 267,746.84 × 113,497.52
  4. Step 4: Simplify right side
    194,022.32x = 30,388,602,327.84
  5. Step 5: Solve for x
    x = 30,388,602,327.84/194,022.32
  6. Step 6: Final answer
    x = 156,624.26

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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.