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Finding the Fourth Proportional to 213,857.64, 320,678.46 and 125,137.80

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Solution

The fourth proportional to 213,857.64, 320,678.46 and 125,137.80 is: 187,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,857.64 : 320,678.46 = 125,137.80 : x
  2. Step 2: Convert to fraction form
    213,857.64/320,678.46 = 125,137.80/x
  3. Step 3: Cross multiply
    213,857.64x = 320,678.46 × 125,137.80
  4. Step 4: Simplify right side
    213,857.64x = 40,128,996,991.79
  5. Step 5: Solve for x
    x = 40,128,996,991.79/213,857.64
  6. Step 6: Final answer
    x = 187,643.50

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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.