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Finding the Fourth Proportional to 202,551.58, 303,892.28 and 141,825.10

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Solution

The fourth proportional to 202,551.58, 303,892.28 and 141,825.10 is: 212,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,551.58 : 303,892.28 = 141,825.10 : x
  2. Step 2: Convert to fraction form
    202,551.58/303,892.28 = 141,825.10/x
  3. Step 3: Cross multiply
    202,551.58x = 303,892.28 × 141,825.10
  4. Step 4: Simplify right side
    202,551.58x = 43,099,553,000.23
  5. Step 5: Solve for x
    x = 43,099,553,000.23/202,551.58
  6. Step 6: Final answer
    x = 212,783.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.