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Finding the Fourth Proportional to 202,741.74, 279,803.94 and 112,104.54

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Solution

The fourth proportional to 202,741.74, 279,803.94 and 112,104.54 is: 154,715.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,741.74 : 279,803.94 = 112,104.54 : x
  2. Step 2: Convert to fraction form
    202,741.74/279,803.94 = 112,104.54/x
  3. Step 3: Cross multiply
    202,741.74x = 279,803.94 × 112,104.54
  4. Step 4: Simplify right side
    202,741.74x = 31,367,291,983.89
  5. Step 5: Solve for x
    x = 31,367,291,983.89/202,741.74
  6. Step 6: Final answer
    x = 154,715.51

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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.