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Finding the Fourth Proportional to 116,422.44, 174,466.80 and 66,399

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Solution

The fourth proportional to 116,422.44, 174,466.80 and 66,399 is: 99,503.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,422.44 : 174,466.80 = 66,399 : x
  2. Step 2: Convert to fraction form
    116,422.44/174,466.80 = 66,399/x
  3. Step 3: Cross multiply
    116,422.44x = 174,466.80 × 66,399
  4. Step 4: Simplify right side
    116,422.44x = 11,584,421,053.20
  5. Step 5: Solve for x
    x = 11,584,421,053.20/116,422.44
  6. Step 6: Final answer
    x = 99,503.34

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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.