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Finding the Fourth Proportional to 208,665.64, 287,914.26 and 123,810.28

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Solution

The fourth proportional to 208,665.64, 287,914.26 and 123,810.28 is: 170,831.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,665.64 : 287,914.26 = 123,810.28 : x
  2. Step 2: Convert to fraction form
    208,665.64/287,914.26 = 123,810.28/x
  3. Step 3: Cross multiply
    208,665.64x = 287,914.26 × 123,810.28
  4. Step 4: Simplify right side
    208,665.64x = 35,646,745,146.59
  5. Step 5: Solve for x
    x = 35,646,745,146.59/208,665.64
  6. Step 6: Final answer
    x = 170,831.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.