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Finding the Fourth Proportional to 145,675.08, 201,035.38 and 82,015.16

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Solution

The fourth proportional to 145,675.08, 201,035.38 and 82,015.16 is: 113,183.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,675.08 : 201,035.38 = 82,015.16 : x
  2. Step 2: Convert to fraction form
    145,675.08/201,035.38 = 82,015.16/x
  3. Step 3: Cross multiply
    145,675.08x = 201,035.38 × 82,015.16
  4. Step 4: Simplify right side
    145,675.08x = 16,487,948,856.36
  5. Step 5: Solve for x
    x = 16,487,948,856.36/145,675.08
  6. Step 6: Final answer
    x = 113,183.04

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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.