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Finding the Fourth Proportional to 174,271.80, 260,759.70 and 127,615.80

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Solution

The fourth proportional to 174,271.80, 260,759.70 and 127,615.80 is: 190,949.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,271.80 : 260,759.70 = 127,615.80 : x
  2. Step 2: Convert to fraction form
    174,271.80/260,759.70 = 127,615.80/x
  3. Step 3: Cross multiply
    174,271.80x = 260,759.70 × 127,615.80
  4. Step 4: Simplify right side
    174,271.80x = 33,277,057,723.26
  5. Step 5: Solve for x
    x = 33,277,057,723.26/174,271.80
  6. Step 6: Final answer
    x = 190,949.18

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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.