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Finding the Fourth Proportional to 252,428.44, 378,560.44 and 83,903.51

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Solution

The fourth proportional to 252,428.44, 378,560.44 and 83,903.51 is: 125,827.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,428.44 : 378,560.44 = 83,903.51 : x
  2. Step 2: Convert to fraction form
    252,428.44/378,560.44 = 83,903.51/x
  3. Step 3: Cross multiply
    252,428.44x = 378,560.44 × 83,903.51
  4. Step 4: Simplify right side
    252,428.44x = 31,762,548,645.42
  5. Step 5: Solve for x
    x = 31,762,548,645.42/252,428.44
  6. Step 6: Final answer
    x = 125,827.93

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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.