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Finding the Fourth Proportional to 149,316.56, 206,056.86 and 82,248.56

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Solution

The fourth proportional to 149,316.56, 206,056.86 and 82,248.56 is: 113,503.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,316.56 : 206,056.86 = 82,248.56 : x
  2. Step 2: Convert to fraction form
    149,316.56/206,056.86 = 82,248.56/x
  3. Step 3: Cross multiply
    149,316.56x = 206,056.86 × 82,248.56
  4. Step 4: Simplify right side
    149,316.56x = 16,947,880,013.12
  5. Step 5: Solve for x
    x = 16,947,880,013.12/149,316.56
  6. Step 6: Final answer
    x = 113,503.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.