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Finding the Fourth Proportional to 273,963.94, 411,028.95 and 194,156.21

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Solution

The fourth proportional to 273,963.94, 411,028.95 and 194,156.21 is: 291,293.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,963.94 : 411,028.95 = 194,156.21 : x
  2. Step 2: Convert to fraction form
    273,963.94/411,028.95 = 194,156.21/x
  3. Step 3: Cross multiply
    273,963.94x = 411,028.95 × 194,156.21
  4. Step 4: Simplify right side
    273,963.94x = 79,803,822,161.50
  5. Step 5: Solve for x
    x = 79,803,822,161.50/273,963.94
  6. Step 6: Final answer
    x = 291,293.16

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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.