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Finding the Fourth Proportional to 150,258, 207,357.48 and 83,191.44

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Solution

The fourth proportional to 150,258, 207,357.48 and 83,191.44 is: 114,804.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,258 : 207,357.48 = 83,191.44 : x
  2. Step 2: Convert to fraction form
    150,258/207,357.48 = 83,191.44/x
  3. Step 3: Cross multiply
    150,258x = 207,357.48 × 83,191.44
  4. Step 4: Simplify right side
    150,258x = 17,250,367,355.97
  5. Step 5: Solve for x
    x = 17,250,367,355.97/150,258
  6. Step 6: Final answer
    x = 114,804.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.