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Finding the Fourth Proportional to 234,332.40, 323,378.22 and 126,902.10

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Solution

The fourth proportional to 234,332.40, 323,378.22 and 126,902.10 is: 175,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,332.40 : 323,378.22 = 126,902.10 : x
  2. Step 2: Convert to fraction form
    234,332.40/323,378.22 = 126,902.10/x
  3. Step 3: Cross multiply
    234,332.40x = 323,378.22 × 126,902.10
  4. Step 4: Simplify right side
    234,332.40x = 41,037,376,900.81
  5. Step 5: Solve for x
    x = 41,037,376,900.81/234,332.40
  6. Step 6: Final answer
    x = 175,124.64

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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.