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Finding the Fourth Proportional to 227,648.52, 314,186.64 and 127,053

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Solution

The fourth proportional to 227,648.52, 314,186.64 and 127,053 is: 175,350.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,648.52 : 314,186.64 = 127,053 : x
  2. Step 2: Convert to fraction form
    227,648.52/314,186.64 = 127,053/x
  3. Step 3: Cross multiply
    227,648.52x = 314,186.64 × 127,053
  4. Step 4: Simplify right side
    227,648.52x = 39,918,355,171.92
  5. Step 5: Solve for x
    x = 39,918,355,171.92/227,648.52
  6. Step 6: Final answer
    x = 175,350.82

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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.