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Finding the Fourth Proportional to 127,866.40, 191,782.80 and 39,128.80

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Solution

The fourth proportional to 127,866.40, 191,782.80 and 39,128.80 is: 58,688.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,866.40 : 191,782.80 = 39,128.80 : x
  2. Step 2: Convert to fraction form
    127,866.40/191,782.80 = 39,128.80/x
  3. Step 3: Cross multiply
    127,866.40x = 191,782.80 × 39,128.80
  4. Step 4: Simplify right side
    127,866.40x = 7,504,230,824.64
  5. Step 5: Solve for x
    x = 7,504,230,824.64/127,866.40
  6. Step 6: Final answer
    x = 58,688.06

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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.