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Finding the Fourth Proportional to 264,549.66, 365,086.71 and 151,408.86

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Solution

The fourth proportional to 264,549.66, 365,086.71 and 151,408.86 is: 208,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,549.66 : 365,086.71 = 151,408.86 : x
  2. Step 2: Convert to fraction form
    264,549.66/365,086.71 = 151,408.86/x
  3. Step 3: Cross multiply
    264,549.66x = 365,086.71 × 151,408.86
  4. Step 4: Simplify right side
    264,549.66x = 55,277,362,562.25
  5. Step 5: Solve for x
    x = 55,277,362,562.25/264,549.66
  6. Step 6: Final answer
    x = 208,948.91

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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.