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Finding the Fourth Proportional to 228,522.56, 315,032.48 and 160,328.24

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Solution

The fourth proportional to 228,522.56, 315,032.48 and 160,328.24 is: 221,022.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,522.56 : 315,032.48 = 160,328.24 : x
  2. Step 2: Convert to fraction form
    228,522.56/315,032.48 = 160,328.24/x
  3. Step 3: Cross multiply
    228,522.56x = 315,032.48 × 160,328.24
  4. Step 4: Simplify right side
    228,522.56x = 50,508,603,061.24
  5. Step 5: Solve for x
    x = 50,508,603,061.24/228,522.56
  6. Step 6: Final answer
    x = 221,022.39

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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.