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Finding the Fourth Proportional to 307,364, 424,162.32 and 166,052

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Solution

The fourth proportional to 307,364, 424,162.32 and 166,052 is: 229,151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,364 : 424,162.32 = 166,052 : x
  2. Step 2: Convert to fraction form
    307,364/424,162.32 = 166,052/x
  3. Step 3: Cross multiply
    307,364x = 424,162.32 × 166,052
  4. Step 4: Simplify right side
    307,364x = 70,433,001,560.64
  5. Step 5: Solve for x
    x = 70,433,001,560.64/307,364
  6. Step 6: Final answer
    x = 229,151.76

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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.