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Finding the Fourth Proportional to 242,606.44, 334,826.50 and 147,112.84

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Solution

The fourth proportional to 242,606.44, 334,826.50 and 147,112.84 is: 203,033.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,606.44 : 334,826.50 = 147,112.84 : x
  2. Step 2: Convert to fraction form
    242,606.44/334,826.50 = 147,112.84/x
  3. Step 3: Cross multiply
    242,606.44x = 334,826.50 × 147,112.84
  4. Step 4: Simplify right side
    242,606.44x = 49,257,277,322.26
  5. Step 5: Solve for x
    x = 49,257,277,322.26/242,606.44
  6. Step 6: Final answer
    x = 203,033.68

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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.