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Finding the Fourth Proportional to 234,513.72, 323,630.10 and 137,782.71

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Solution

The fourth proportional to 234,513.72, 323,630.10 and 137,782.71 is: 190,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,513.72 : 323,630.10 = 137,782.71 : x
  2. Step 2: Convert to fraction form
    234,513.72/323,630.10 = 137,782.71/x
  3. Step 3: Cross multiply
    234,513.72x = 323,630.10 × 137,782.71
  4. Step 4: Simplify right side
    234,513.72x = 44,590,632,215.57
  5. Step 5: Solve for x
    x = 44,590,632,215.57/234,513.72
  6. Step 6: Final answer
    x = 190,140.83

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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.