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Finding the Fourth Proportional to 140,935.28, 194,496.76 and 84,335.76

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Solution

The fourth proportional to 140,935.28, 194,496.76 and 84,335.76 is: 116,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,935.28 : 194,496.76 = 84,335.76 : x
  2. Step 2: Convert to fraction form
    140,935.28/194,496.76 = 84,335.76/x
  3. Step 3: Cross multiply
    140,935.28x = 194,496.76 × 84,335.76
  4. Step 4: Simplify right side
    140,935.28x = 16,403,032,072.14
  5. Step 5: Solve for x
    x = 16,403,032,072.14/140,935.28
  6. Step 6: Final answer
    x = 116,386.98

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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.