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Finding the Fourth Proportional to 205,422.90, 308,134.35 and 148,998.30

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Solution

The fourth proportional to 205,422.90, 308,134.35 and 148,998.30 is: 223,497.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,422.90 : 308,134.35 = 148,998.30 : x
  2. Step 2: Convert to fraction form
    205,422.90/308,134.35 = 148,998.30/x
  3. Step 3: Cross multiply
    205,422.90x = 308,134.35 × 148,998.30
  4. Step 4: Simplify right side
    205,422.90x = 45,911,494,321.61
  5. Step 5: Solve for x
    x = 45,911,494,321.61/205,422.90
  6. Step 6: Final answer
    x = 223,497.45

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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.