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Finding the Fourth Proportional to 161,354, 242,043.78 and 49,043.96

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Solution

The fourth proportional to 161,354, 242,043.78 and 49,043.96 is: 73,569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,354 : 242,043.78 = 49,043.96 : x
  2. Step 2: Convert to fraction form
    161,354/242,043.78 = 49,043.96/x
  3. Step 3: Cross multiply
    161,354x = 242,043.78 × 49,043.96
  4. Step 4: Simplify right side
    161,354x = 11,870,785,464.57
  5. Step 5: Solve for x
    x = 11,870,785,464.57/161,354
  6. Step 6: Final answer
    x = 73,569.82

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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.