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Finding the Fourth Proportional to 202,832.79, 279,890.43 and 112,186.81

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Solution

The fourth proportional to 202,832.79, 279,890.43 and 112,186.81 is: 154,807.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,832.79 : 279,890.43 = 112,186.81 : x
  2. Step 2: Convert to fraction form
    202,832.79/279,890.43 = 112,186.81/x
  3. Step 3: Cross multiply
    202,832.79x = 279,890.43 × 112,186.81
  4. Step 4: Simplify right side
    202,832.79x = 31,400,013,477.06
  5. Step 5: Solve for x
    x = 31,400,013,477.06/202,832.79
  6. Step 6: Final answer
    x = 154,807.39

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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.