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Finding the Fourth Proportional to 174,608, 240,947.70 and 102,971.60

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Solution

The fourth proportional to 174,608, 240,947.70 and 102,971.60 is: 142,094.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,608 : 240,947.70 = 102,971.60 : x
  2. Step 2: Convert to fraction form
    174,608/240,947.70 = 102,971.60/x
  3. Step 3: Cross multiply
    174,608x = 240,947.70 × 102,971.60
  4. Step 4: Simplify right side
    174,608x = 24,810,770,185.32
  5. Step 5: Solve for x
    x = 24,810,770,185.32/174,608
  6. Step 6: Final answer
    x = 142,094.12

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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.