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Finding the Fourth Proportional to 201,803.11, 278,425.41 and 114,573.94

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Solution

The fourth proportional to 201,803.11, 278,425.41 and 114,573.94 is: 158,076.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,803.11 : 278,425.41 = 114,573.94 : x
  2. Step 2: Convert to fraction form
    201,803.11/278,425.41 = 114,573.94/x
  3. Step 3: Cross multiply
    201,803.11x = 278,425.41 × 114,573.94
  4. Step 4: Simplify right side
    201,803.11x = 31,900,294,827.69
  5. Step 5: Solve for x
    x = 31,900,294,827.69/201,803.11
  6. Step 6: Final answer
    x = 158,076.33

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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.