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Finding the Fourth Proportional to 102,936.80, 154,462.80 and 43,762.40

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Solution

The fourth proportional to 102,936.80, 154,462.80 and 43,762.40 is: 65,668.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,936.80 : 154,462.80 = 43,762.40 : x
  2. Step 2: Convert to fraction form
    102,936.80/154,462.80 = 43,762.40/x
  3. Step 3: Cross multiply
    102,936.80x = 154,462.80 × 43,762.40
  4. Step 4: Simplify right side
    102,936.80x = 6,759,662,838.72
  5. Step 5: Solve for x
    x = 6,759,662,838.72/102,936.80
  6. Step 6: Final answer
    x = 65,668.09

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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.