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Finding the Fourth Proportional to 234,952.94, 324,235.41 and 127,523.01

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Solution

The fourth proportional to 234,952.94, 324,235.41 and 127,523.01 is: 175,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,952.94 : 324,235.41 = 127,523.01 : x
  2. Step 2: Convert to fraction form
    234,952.94/324,235.41 = 127,523.01/x
  3. Step 3: Cross multiply
    234,952.94x = 324,235.41 × 127,523.01
  4. Step 4: Simplify right side
    234,952.94x = 41,347,473,737.69
  5. Step 5: Solve for x
    x = 41,347,473,737.69/234,952.94
  6. Step 6: Final answer
    x = 175,981.94

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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.