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Finding the Fourth Proportional to 234,345.14, 323,392.46 and 126,914.23

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Solution

The fourth proportional to 234,345.14, 323,392.46 and 126,914.23 is: 175,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,345.14 : 323,392.46 = 126,914.23 : x
  2. Step 2: Convert to fraction form
    234,345.14/323,392.46 = 126,914.23/x
  3. Step 3: Cross multiply
    234,345.14x = 323,392.46 × 126,914.23
  4. Step 4: Simplify right side
    234,345.14x = 41,043,105,048.71
  5. Step 5: Solve for x
    x = 41,043,105,048.71/234,345.14
  6. Step 6: Final answer
    x = 175,139.56

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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.