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Finding the Fourth Proportional to 117,629.20, 176,443.80 and 102,422.80

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Solution

The fourth proportional to 117,629.20, 176,443.80 and 102,422.80 is: 153,634.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,629.20 : 176,443.80 = 102,422.80 : x
  2. Step 2: Convert to fraction form
    117,629.20/176,443.80 = 102,422.80/x
  3. Step 3: Cross multiply
    117,629.20x = 176,443.80 × 102,422.80
  4. Step 4: Simplify right side
    117,629.20x = 18,071,868,038.64
  5. Step 5: Solve for x
    x = 18,071,868,038.64/117,629.20
  6. Step 6: Final answer
    x = 153,634.20

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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.