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Finding the Fourth Proportional to 193,320, 266,827.68 and 117,931.68

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Solution

The fourth proportional to 193,320, 266,827.68 and 117,931.68 is: 162,773.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,320 : 266,827.68 = 117,931.68 : x
  2. Step 2: Convert to fraction form
    193,320/266,827.68 = 117,931.68/x
  3. Step 3: Cross multiply
    193,320x = 266,827.68 × 117,931.68
  4. Step 4: Simplify right side
    193,320x = 31,467,436,572.90
  5. Step 5: Solve for x
    x = 31,467,436,572.90/193,320
  6. Step 6: Final answer
    x = 162,773.83

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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.