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Finding the Fourth Proportional to 320,142.11, 442,002.22 and 205,470.14

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Solution

The fourth proportional to 320,142.11, 442,002.22 and 205,470.14 is: 283,681.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,142.11 : 442,002.22 = 205,470.14 : x
  2. Step 2: Convert to fraction form
    320,142.11/442,002.22 = 205,470.14/x
  3. Step 3: Cross multiply
    320,142.11x = 442,002.22 × 205,470.14
  4. Step 4: Simplify right side
    320,142.11x = 90,818,255,300.02
  5. Step 5: Solve for x
    x = 90,818,255,300.02/320,142.11
  6. Step 6: Final answer
    x = 283,681.07

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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.