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Finding the Fourth Proportional to 202,588.56, 279,557.76 and 111,943.52

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Solution

The fourth proportional to 202,588.56, 279,557.76 and 111,943.52 is: 154,474.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,588.56 : 279,557.76 = 111,943.52 : x
  2. Step 2: Convert to fraction form
    202,588.56/279,557.76 = 111,943.52/x
  3. Step 3: Cross multiply
    202,588.56x = 279,557.76 × 111,943.52
  4. Step 4: Simplify right side
    202,588.56x = 31,294,679,697.72
  5. Step 5: Solve for x
    x = 31,294,679,697.72/202,588.56
  6. Step 6: Final answer
    x = 154,474.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.