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Finding the Fourth Proportional to 149,478.95, 206,280.84 and 81,495.92

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Solution

The fourth proportional to 149,478.95, 206,280.84 and 81,495.92 is: 112,464.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,478.95 : 206,280.84 = 81,495.92 : x
  2. Step 2: Convert to fraction form
    149,478.95/206,280.84 = 81,495.92/x
  3. Step 3: Cross multiply
    149,478.95x = 206,280.84 × 81,495.92
  4. Step 4: Simplify right side
    149,478.95x = 16,811,046,834.17
  5. Step 5: Solve for x
    x = 16,811,046,834.17/149,478.95
  6. Step 6: Final answer
    x = 112,464.31

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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.