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Finding the Fourth Proportional to 274,100.53, 411,178.99 and 103,465.97

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Solution

The fourth proportional to 274,100.53, 411,178.99 and 103,465.97 is: 155,209.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,100.53 : 411,178.99 = 103,465.97 : x
  2. Step 2: Convert to fraction form
    274,100.53/411,178.99 = 103,465.97/x
  3. Step 3: Cross multiply
    274,100.53x = 411,178.99 × 103,465.97
  4. Step 4: Simplify right side
    274,100.53x = 42,543,033,043.97
  5. Step 5: Solve for x
    x = 42,543,033,043.97/274,100.53
  6. Step 6: Final answer
    x = 155,209.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.