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Finding the Fourth Proportional to 227,984, 314,618.04 and 127,382

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Solution

The fourth proportional to 227,984, 314,618.04 and 127,382 is: 175,787.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,984 : 314,618.04 = 127,382 : x
  2. Step 2: Convert to fraction form
    227,984/314,618.04 = 127,382/x
  3. Step 3: Cross multiply
    227,984x = 314,618.04 × 127,382
  4. Step 4: Simplify right side
    227,984x = 40,076,675,171.28
  5. Step 5: Solve for x
    x = 40,076,675,171.28/227,984
  6. Step 6: Final answer
    x = 175,787.23

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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.