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Finding the Fourth Proportional to 116,696.20, 175,044.30 and 74,705.80

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Solution

The fourth proportional to 116,696.20, 175,044.30 and 74,705.80 is: 112,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,696.20 : 175,044.30 = 74,705.80 : x
  2. Step 2: Convert to fraction form
    116,696.20/175,044.30 = 74,705.80/x
  3. Step 3: Cross multiply
    116,696.20x = 175,044.30 × 74,705.80
  4. Step 4: Simplify right side
    116,696.20x = 13,076,824,466.94
  5. Step 5: Solve for x
    x = 13,076,824,466.94/116,696.20
  6. Step 6: Final answer
    x = 112,058.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.