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Finding the Fourth Proportional to 170,930.40, 256,395.60 and 100,071.60

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Solution

The fourth proportional to 170,930.40, 256,395.60 and 100,071.60 is: 150,107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,930.40 : 256,395.60 = 100,071.60 : x
  2. Step 2: Convert to fraction form
    170,930.40/256,395.60 = 100,071.60/x
  3. Step 3: Cross multiply
    170,930.40x = 256,395.60 × 100,071.60
  4. Step 4: Simplify right side
    170,930.40x = 25,657,917,924.96
  5. Step 5: Solve for x
    x = 25,657,917,924.96/170,930.40
  6. Step 6: Final answer
    x = 150,107.40

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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.