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Finding the Fourth Proportional to 264,683.25, 365,262.89 and 145,451.25

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Solution

The fourth proportional to 264,683.25, 365,262.89 and 145,451.25 is: 200,722.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,683.25 : 365,262.89 = 145,451.25 : x
  2. Step 2: Convert to fraction form
    264,683.25/365,262.89 = 145,451.25/x
  3. Step 3: Cross multiply
    264,683.25x = 365,262.89 × 145,451.25
  4. Step 4: Simplify right side
    264,683.25x = 53,127,943,201.86
  5. Step 5: Solve for x
    x = 53,127,943,201.86/264,683.25
  6. Step 6: Final answer
    x = 200,722.73

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1.5x scale

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.