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Finding the Fourth Proportional to 213,497.64, 294,578.17 and 127,484.48

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Solution

The fourth proportional to 213,497.64, 294,578.17 and 127,484.48 is: 175,899.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,497.64 : 294,578.17 = 127,484.48 : x
  2. Step 2: Convert to fraction form
    213,497.64/294,578.17 = 127,484.48/x
  3. Step 3: Cross multiply
    213,497.64x = 294,578.17 × 127,484.48
  4. Step 4: Simplify right side
    213,497.64x = 37,554,145,239.54
  5. Step 5: Solve for x
    x = 37,554,145,239.54/213,497.64
  6. Step 6: Final answer
    x = 175,899.58

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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.