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Finding the Fourth Proportional to 213,359.64, 320,039.46 and 146,597.37

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Solution

The fourth proportional to 213,359.64, 320,039.46 and 146,597.37 is: 219,896.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,359.64 : 320,039.46 = 146,597.37 : x
  2. Step 2: Convert to fraction form
    213,359.64/320,039.46 = 146,597.37/x
  3. Step 3: Cross multiply
    213,359.64x = 320,039.46 × 146,597.37
  4. Step 4: Simplify right side
    213,359.64x = 46,916,943,132.22
  5. Step 5: Solve for x
    x = 46,916,943,132.22/213,359.64
  6. Step 6: Final answer
    x = 219,896.06

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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.