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Finding the Fourth Proportional to 227,633.52, 314,165.88 and 127,038

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Solution

The fourth proportional to 227,633.52, 314,165.88 and 127,038 is: 175,330.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,633.52 : 314,165.88 = 127,038 : x
  2. Step 2: Convert to fraction form
    227,633.52/314,165.88 = 127,038/x
  3. Step 3: Cross multiply
    227,633.52x = 314,165.88 × 127,038
  4. Step 4: Simplify right side
    227,633.52x = 39,911,005,063.44
  5. Step 5: Solve for x
    x = 39,911,005,063.44/227,633.52
  6. Step 6: Final answer
    x = 175,330.09

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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.