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Finding the Fourth Proportional to 196,476.30, 270,923.13 and 132,703.38

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Solution

The fourth proportional to 196,476.30, 270,923.13 and 132,703.38 is: 182,986.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,476.30 : 270,923.13 = 132,703.38 : x
  2. Step 2: Convert to fraction form
    196,476.30/270,923.13 = 132,703.38/x
  3. Step 3: Cross multiply
    196,476.30x = 270,923.13 × 132,703.38
  4. Step 4: Simplify right side
    196,476.30x = 35,952,415,071.18
  5. Step 5: Solve for x
    x = 35,952,415,071.18/196,476.30
  6. Step 6: Final answer
    x = 182,986.01

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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.