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Finding the Fourth Proportional to 140,606.69, 194,007.22 and 83,264.02

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Solution

The fourth proportional to 140,606.69, 194,007.22 and 83,264.02 is: 114,886.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,606.69 : 194,007.22 = 83,264.02 : x
  2. Step 2: Convert to fraction form
    140,606.69/194,007.22 = 83,264.02/x
  3. Step 3: Cross multiply
    140,606.69x = 194,007.22 × 83,264.02
  4. Step 4: Simplify right side
    140,606.69x = 16,153,820,353.05
  5. Step 5: Solve for x
    x = 16,153,820,353.05/140,606.69
  6. Step 6: Final answer
    x = 114,886.57

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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.