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Finding the Fourth Proportional to 118,099, 177,177.66 and 34,993

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Solution

The fourth proportional to 118,099, 177,177.66 and 34,993 is: 52,498.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,099 : 177,177.66 = 34,993 : x
  2. Step 2: Convert to fraction form
    118,099/177,177.66 = 34,993/x
  3. Step 3: Cross multiply
    118,099x = 177,177.66 × 34,993
  4. Step 4: Simplify right side
    118,099x = 6,199,977,856.38
  5. Step 5: Solve for x
    x = 6,199,977,856.38/118,099
  6. Step 6: Final answer
    x = 52,498.14

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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.