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Finding the Fourth Proportional to 175,452, 263,205.34 and 57,095.40

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Solution

The fourth proportional to 175,452, 263,205.34 and 57,095.40 is: 85,652.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,452 : 263,205.34 = 57,095.40 : x
  2. Step 2: Convert to fraction form
    175,452/263,205.34 = 57,095.40/x
  3. Step 3: Cross multiply
    175,452x = 263,205.34 × 57,095.40
  4. Step 4: Simplify right side
    175,452x = 15,027,814,169.44
  5. Step 5: Solve for x
    x = 15,027,814,169.44/175,452
  6. Step 6: Final answer
    x = 85,652.00

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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.