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Finding the Fourth Proportional to 656,148, 984,222.62 and 182,845.97

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Solution

The fourth proportional to 656,148, 984,222.62 and 182,845.97 is: 274,269.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,148 : 984,222.62 = 182,845.97 : x
  2. Step 2: Convert to fraction form
    656,148/984,222.62 = 182,845.97/x
  3. Step 3: Cross multiply
    656,148x = 984,222.62 × 182,845.97
  4. Step 4: Simplify right side
    656,148x = 179,961,133,814.50
  5. Step 5: Solve for x
    x = 179,961,133,814.50/656,148
  6. Step 6: Final answer
    x = 274,269.12

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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.