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Finding the Fourth Proportional to 165,506, 248,307.96 and 95,435.60

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Solution

The fourth proportional to 165,506, 248,307.96 and 95,435.60 is: 143,181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,506 : 248,307.96 = 95,435.60 : x
  2. Step 2: Convert to fraction form
    165,506/248,307.96 = 95,435.60/x
  3. Step 3: Cross multiply
    165,506x = 248,307.96 × 95,435.60
  4. Step 4: Simplify right side
    165,506x = 23,697,419,147.38
  5. Step 5: Solve for x
    x = 23,697,419,147.38/165,506
  6. Step 6: Final answer
    x = 143,181.63

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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.