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Finding the Fourth Proportional to 228,796.08, 342,814.76 and 161,904.64

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Solution

The fourth proportional to 228,796.08, 342,814.76 and 161,904.64 is: 242,588.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,796.08 : 342,814.76 = 161,904.64 : x
  2. Step 2: Convert to fraction form
    228,796.08/342,814.76 = 161,904.64/x
  3. Step 3: Cross multiply
    228,796.08x = 342,814.76 × 161,904.64
  4. Step 4: Simplify right side
    228,796.08x = 55,503,300,304.49
  5. Step 5: Solve for x
    x = 55,503,300,304.49/228,796.08
  6. Step 6: Final answer
    x = 242,588.51

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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.