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Finding the Fourth Proportional to 228,516.53, 343,300.32 and 161,203.49

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Solution

The fourth proportional to 228,516.53, 343,300.32 and 161,203.49 is: 242,175.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,516.53 : 343,300.32 = 161,203.49 : x
  2. Step 2: Convert to fraction form
    228,516.53/343,300.32 = 161,203.49/x
  3. Step 3: Cross multiply
    228,516.53x = 343,300.32 × 161,203.49
  4. Step 4: Simplify right side
    228,516.53x = 55,341,209,702.12
  5. Step 5: Solve for x
    x = 55,341,209,702.12/228,516.53
  6. Step 6: Final answer
    x = 242,175.96

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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.