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Finding the Fourth Proportional to 185,172.66, 277,701.57 and 66,828.60

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Solution

The fourth proportional to 185,172.66, 277,701.57 and 66,828.60 is: 100,222.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,172.66 : 277,701.57 = 66,828.60 : x
  2. Step 2: Convert to fraction form
    185,172.66/277,701.57 = 66,828.60/x
  3. Step 3: Cross multiply
    185,172.66x = 277,701.57 × 66,828.60
  4. Step 4: Simplify right side
    185,172.66x = 18,558,407,140.90
  5. Step 5: Solve for x
    x = 18,558,407,140.90/185,172.66
  6. Step 6: Final answer
    x = 100,222.18

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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.