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Finding the Fourth Proportional to 227,703, 314,230.32 and 127,101

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Solution

The fourth proportional to 227,703, 314,230.32 and 127,101 is: 175,399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,703 : 314,230.32 = 127,101 : x
  2. Step 2: Convert to fraction form
    227,703/314,230.32 = 127,101/x
  3. Step 3: Cross multiply
    227,703x = 314,230.32 × 127,101
  4. Step 4: Simplify right side
    227,703x = 39,938,987,902.32
  5. Step 5: Solve for x
    x = 39,938,987,902.32/227,703
  6. Step 6: Final answer
    x = 175,399.48

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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.