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Finding the Fourth Proportional to 234,116.96, 323,083.32 and 137,378.64

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Solution

The fourth proportional to 234,116.96, 323,083.32 and 137,378.64 is: 189,583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,116.96 : 323,083.32 = 137,378.64 : x
  2. Step 2: Convert to fraction form
    234,116.96/323,083.32 = 137,378.64/x
  3. Step 3: Cross multiply
    234,116.96x = 323,083.32 × 137,378.64
  4. Step 4: Simplify right side
    234,116.96x = 44,384,747,108.28
  5. Step 5: Solve for x
    x = 44,384,747,108.28/234,116.96
  6. Step 6: Final answer
    x = 189,583.65

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1.5x scale

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.