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Finding the Fourth Proportional to 193,383, 266,868.62 and 117,947.16

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Solution

The fourth proportional to 193,383, 266,868.62 and 117,947.16 is: 162,767.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,383 : 266,868.62 = 117,947.16 : x
  2. Step 2: Convert to fraction form
    193,383/266,868.62 = 117,947.16/x
  3. Step 3: Cross multiply
    193,383x = 266,868.62 × 117,947.16
  4. Step 4: Simplify right side
    193,383x = 31,476,395,822.12
  5. Step 5: Solve for x
    x = 31,476,395,822.12/193,383
  6. Step 6: Final answer
    x = 162,767.13

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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.