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Finding the Fourth Proportional to 202,588.17, 279,574.64 and 111,946.23

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Solution

The fourth proportional to 202,588.17, 279,574.64 and 111,946.23 is: 154,487.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,588.17 : 279,574.64 = 111,946.23 : x
  2. Step 2: Convert to fraction form
    202,588.17/279,574.64 = 111,946.23/x
  3. Step 3: Cross multiply
    202,588.17x = 279,574.64 × 111,946.23
  4. Step 4: Simplify right side
    202,588.17x = 31,297,326,391.88
  5. Step 5: Solve for x
    x = 31,297,326,391.88/202,588.17
  6. Step 6: Final answer
    x = 154,487.43

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