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Finding the Fourth Proportional to 234,165.40, 323,287.49 and 153,733.92

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Solution

The fourth proportional to 234,165.40, 323,287.49 and 153,733.92 is: 212,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,165.40 : 323,287.49 = 153,733.92 : x
  2. Step 2: Convert to fraction form
    234,165.40/323,287.49 = 153,733.92/x
  3. Step 3: Cross multiply
    234,165.40x = 323,287.49 × 153,733.92
  4. Step 4: Simplify right side
    234,165.40x = 49,700,251,431.91
  5. Step 5: Solve for x
    x = 49,700,251,431.91/234,165.40
  6. Step 6: Final answer
    x = 212,244.22

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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.