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Finding the Fourth Proportional to 86,786.40, 130,222.80 and 34,197.60

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Solution

The fourth proportional to 86,786.40, 130,222.80 and 34,197.60 is: 51,313.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,786.40 : 130,222.80 = 34,197.60 : x
  2. Step 2: Convert to fraction form
    86,786.40/130,222.80 = 34,197.60/x
  3. Step 3: Cross multiply
    86,786.40x = 130,222.80 × 34,197.60
  4. Step 4: Simplify right side
    86,786.40x = 4,453,307,225.28
  5. Step 5: Solve for x
    x = 4,453,307,225.28/86,786.40
  6. Step 6: Final answer
    x = 51,313.42

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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.