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Finding the Fourth Proportional to 202,682.52, 279,697.40 and 112,035

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Solution

The fourth proportional to 202,682.52, 279,697.40 and 112,035 is: 154,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,682.52 : 279,697.40 = 112,035 : x
  2. Step 2: Convert to fraction form
    202,682.52/279,697.40 = 112,035/x
  3. Step 3: Cross multiply
    202,682.52x = 279,697.40 × 112,035
  4. Step 4: Simplify right side
    202,682.52x = 31,335,898,209.00
  5. Step 5: Solve for x
    x = 31,335,898,209.00/202,682.52
  6. Step 6: Final answer
    x = 154,605.82

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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.