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Finding the Fourth Proportional to 193,273, 266,745.90 and 117,865.24

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Solution

The fourth proportional to 193,273, 266,745.90 and 117,865.24 is: 162,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,273 : 266,745.90 = 117,865.24 : x
  2. Step 2: Convert to fraction form
    193,273/266,745.90 = 117,865.24/x
  3. Step 3: Cross multiply
    193,273x = 266,745.90 × 117,865.24
  4. Step 4: Simplify right side
    193,273x = 31,440,069,522.52
  5. Step 5: Solve for x
    x = 31,440,069,522.52/193,273
  6. Step 6: Final answer
    x = 162,671.81

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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.