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Finding the Fourth Proportional to 114,628.80, 171,943.20 and 102,964.80

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Solution

The fourth proportional to 114,628.80, 171,943.20 and 102,964.80 is: 154,447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,628.80 : 171,943.20 = 102,964.80 : x
  2. Step 2: Convert to fraction form
    114,628.80/171,943.20 = 102,964.80/x
  3. Step 3: Cross multiply
    114,628.80x = 171,943.20 × 102,964.80
  4. Step 4: Simplify right side
    114,628.80x = 17,704,097,199.36
  5. Step 5: Solve for x
    x = 17,704,097,199.36/114,628.80
  6. Step 6: Final answer
    x = 154,447.20

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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.