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Finding the Fourth Proportional to 117,130.92, 175,696.38 and 54,845.16

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Solution

The fourth proportional to 117,130.92, 175,696.38 and 54,845.16 is: 82,267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,130.92 : 175,696.38 = 54,845.16 : x
  2. Step 2: Convert to fraction form
    117,130.92/175,696.38 = 54,845.16/x
  3. Step 3: Cross multiply
    117,130.92x = 175,696.38 × 54,845.16
  4. Step 4: Simplify right side
    117,130.92x = 9,636,096,072.52
  5. Step 5: Solve for x
    x = 9,636,096,072.52/117,130.92
  6. Step 6: Final answer
    x = 82,267.74

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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.