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Finding the Fourth Proportional to 159,287, 238,945.38 and 46,967.32

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Solution

The fourth proportional to 159,287, 238,945.38 and 46,967.32 is: 70,455.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,287 : 238,945.38 = 46,967.32 : x
  2. Step 2: Convert to fraction form
    159,287/238,945.38 = 46,967.32/x
  3. Step 3: Cross multiply
    159,287x = 238,945.38 × 46,967.32
  4. Step 4: Simplify right side
    159,287x = 11,222,624,124.98
  5. Step 5: Solve for x
    x = 11,222,624,124.98/159,287
  6. Step 6: Final answer
    x = 70,455.37

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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.