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Finding the Fourth Proportional to 117,993, 162,830.34 and 65,001

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Solution

The fourth proportional to 117,993, 162,830.34 and 65,001 is: 89,701.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,993 : 162,830.34 = 65,001 : x
  2. Step 2: Convert to fraction form
    117,993/162,830.34 = 65,001/x
  3. Step 3: Cross multiply
    117,993x = 162,830.34 × 65,001
  4. Step 4: Simplify right side
    117,993x = 10,584,134,930.34
  5. Step 5: Solve for x
    x = 10,584,134,930.34/117,993
  6. Step 6: Final answer
    x = 89,701.38

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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.