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Finding the Fourth Proportional to 264,922.86, 365,603.14 and 151,767.48

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Solution

The fourth proportional to 264,922.86, 365,603.14 and 151,767.48 is: 209,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,922.86 : 365,603.14 = 151,767.48 : x
  2. Step 2: Convert to fraction form
    264,922.86/365,603.14 = 151,767.48/x
  3. Step 3: Cross multiply
    264,922.86x = 365,603.14 × 151,767.48
  4. Step 4: Simplify right side
    264,922.86x = 55,486,665,409.87
  5. Step 5: Solve for x
    x = 55,486,665,409.87/264,922.86
  6. Step 6: Final answer
    x = 209,444.62

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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.