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Finding the Fourth Proportional to 203,928.40, 305,400.37 and 122,641.66

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Solution

The fourth proportional to 203,928.40, 305,400.37 and 122,641.66 is: 183,666.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,928.40 : 305,400.37 = 122,641.66 : x
  2. Step 2: Convert to fraction form
    203,928.40/305,400.37 = 122,641.66/x
  3. Step 3: Cross multiply
    203,928.40x = 305,400.37 × 122,641.66
  4. Step 4: Simplify right side
    203,928.40x = 37,454,808,341.41
  5. Step 5: Solve for x
    x = 37,454,808,341.41/203,928.40
  6. Step 6: Final answer
    x = 183,666.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.