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Finding the Fourth Proportional to 127,297.50, 190,946.25 and 44,191.50

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Solution

The fourth proportional to 127,297.50, 190,946.25 and 44,191.50 is: 66,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,297.50 : 190,946.25 = 44,191.50 : x
  2. Step 2: Convert to fraction form
    127,297.50/190,946.25 = 44,191.50/x
  3. Step 3: Cross multiply
    127,297.50x = 190,946.25 × 44,191.50
  4. Step 4: Simplify right side
    127,297.50x = 8,438,201,206.88
  5. Step 5: Solve for x
    x = 8,438,201,206.88/127,297.50
  6. Step 6: Final answer
    x = 66,287.25

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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.