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Finding the Fourth Proportional to 161,838.42, 242,786.82 and 49,516.54

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Solution

The fourth proportional to 161,838.42, 242,786.82 and 49,516.54 is: 74,283.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,838.42 : 242,786.82 = 49,516.54 : x
  2. Step 2: Convert to fraction form
    161,838.42/242,786.82 = 49,516.54/x
  3. Step 3: Cross multiply
    161,838.42x = 242,786.82 × 49,516.54
  4. Step 4: Simplify right side
    161,838.42x = 12,021,963,284.00
  5. Step 5: Solve for x
    x = 12,021,963,284.00/161,838.42
  6. Step 6: Final answer
    x = 74,283.74

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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.