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Finding the Fourth Proportional to 161,758.80, 242,629.37 and 49,438.98

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Solution

The fourth proportional to 161,758.80, 242,629.37 and 49,438.98 is: 74,155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,758.80 : 242,629.37 = 49,438.98 : x
  2. Step 2: Convert to fraction form
    161,758.80/242,629.37 = 49,438.98/x
  3. Step 3: Cross multiply
    161,758.80x = 242,629.37 × 49,438.98
  4. Step 4: Simplify right side
    161,758.80x = 11,995,348,570.84
  5. Step 5: Solve for x
    x = 11,995,348,570.84/161,758.80
  6. Step 6: Final answer
    x = 74,155.77

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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.