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Finding the Fourth Proportional to 264,923.86, 365,604.52 and 151,768.48

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Solution

The fourth proportional to 264,923.86, 365,604.52 and 151,768.48 is: 209,446.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,923.86 : 365,604.52 = 151,768.48 : x
  2. Step 2: Convert to fraction form
    264,923.86/365,604.52 = 151,768.48/x
  3. Step 3: Cross multiply
    264,923.86x = 365,604.52 × 151,768.48
  4. Step 4: Simplify right side
    264,923.86x = 55,487,242,281.53
  5. Step 5: Solve for x
    x = 55,487,242,281.53/264,923.86
  6. Step 6: Final answer
    x = 209,446.00

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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.