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Finding the Fourth Proportional to 281,141.60, 421,906.80 and 202,312.40

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Solution

The fourth proportional to 281,141.60, 421,906.80 and 202,312.40 is: 303,608.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,141.60 : 421,906.80 = 202,312.40 : x
  2. Step 2: Convert to fraction form
    281,141.60/421,906.80 = 202,312.40/x
  3. Step 3: Cross multiply
    281,141.60x = 421,906.80 × 202,312.40
  4. Step 4: Simplify right side
    281,141.60x = 85,356,977,284.32
  5. Step 5: Solve for x
    x = 85,356,977,284.32/281,141.60
  6. Step 6: Final answer
    x = 303,608.49

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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.