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Finding the Fourth Proportional to 205,422.10, 308,133.15 and 94,830.10

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Solution

The fourth proportional to 205,422.10, 308,133.15 and 94,830.10 is: 142,245.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,422.10 : 308,133.15 = 94,830.10 : x
  2. Step 2: Convert to fraction form
    205,422.10/308,133.15 = 94,830.10/x
  3. Step 3: Cross multiply
    205,422.10x = 308,133.15 × 94,830.10
  4. Step 4: Simplify right side
    205,422.10x = 29,220,297,427.82
  5. Step 5: Solve for x
    x = 29,220,297,427.82/205,422.10
  6. Step 6: Final answer
    x = 142,245.15

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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.