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Finding the Fourth Proportional to 252,004.14, 347,287.22 and 180,259.60

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Solution

The fourth proportional to 252,004.14, 347,287.22 and 180,259.60 is: 248,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,004.14 : 347,287.22 = 180,259.60 : x
  2. Step 2: Convert to fraction form
    252,004.14/347,287.22 = 180,259.60/x
  3. Step 3: Cross multiply
    252,004.14x = 347,287.22 × 180,259.60
  4. Step 4: Simplify right side
    252,004.14x = 62,601,855,362.31
  5. Step 5: Solve for x
    x = 62,601,855,362.31/252,004.14
  6. Step 6: Final answer
    x = 248,415.98

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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.