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Finding the Fourth Proportional to 171,322.50, 256,983.75 and 46,663.50

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Solution

The fourth proportional to 171,322.50, 256,983.75 and 46,663.50 is: 69,995.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,322.50 : 256,983.75 = 46,663.50 : x
  2. Step 2: Convert to fraction form
    171,322.50/256,983.75 = 46,663.50/x
  3. Step 3: Cross multiply
    171,322.50x = 256,983.75 × 46,663.50
  4. Step 4: Simplify right side
    171,322.50x = 11,991,761,218.13
  5. Step 5: Solve for x
    x = 11,991,761,218.13/171,322.50
  6. Step 6: Final answer
    x = 69,995.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.