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Finding the Fourth Proportional to 227,683, 314,205.78 and 127,081

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Solution

The fourth proportional to 227,683, 314,205.78 and 127,081 is: 175,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,683 : 314,205.78 = 127,081 : x
  2. Step 2: Convert to fraction form
    227,683/314,205.78 = 127,081/x
  3. Step 3: Cross multiply
    227,683x = 314,205.78 × 127,081
  4. Step 4: Simplify right side
    227,683x = 39,929,584,728.18
  5. Step 5: Solve for x
    x = 39,929,584,728.18/227,683
  6. Step 6: Final answer
    x = 175,373.59

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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.