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Finding the Fourth Proportional to 174,706.80, 261,930.60 and 74,785.20

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Solution

The fourth proportional to 174,706.80, 261,930.60 and 74,785.20 is: 112,122.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,706.80 : 261,930.60 = 74,785.20 : x
  2. Step 2: Convert to fraction form
    174,706.80/261,930.60 = 74,785.20/x
  3. Step 3: Cross multiply
    174,706.80x = 261,930.60 × 74,785.20
  4. Step 4: Simplify right side
    174,706.80x = 19,588,532,307.12
  5. Step 5: Solve for x
    x = 19,588,532,307.12/174,706.80
  6. Step 6: Final answer
    x = 112,122.32

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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.