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Finding the Fourth Proportional to 205,996.44, 284,303.88 and 148,820.74

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Solution

The fourth proportional to 205,996.44, 284,303.88 and 148,820.74 is: 205,393.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,996.44 : 284,303.88 = 148,820.74 : x
  2. Step 2: Convert to fraction form
    205,996.44/284,303.88 = 148,820.74/x
  3. Step 3: Cross multiply
    205,996.44x = 284,303.88 × 148,820.74
  4. Step 4: Simplify right side
    205,996.44x = 42,310,313,806.47
  5. Step 5: Solve for x
    x = 42,310,313,806.47/205,996.44
  6. Step 6: Final answer
    x = 205,393.42

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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.