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Finding the Fourth Proportional to 142,678.80, 213,967.72 and 41,455.80

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Solution

The fourth proportional to 142,678.80, 213,967.72 and 41,455.80 is: 62,169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,678.80 : 213,967.72 = 41,455.80 : x
  2. Step 2: Convert to fraction form
    142,678.80/213,967.72 = 41,455.80/x
  3. Step 3: Cross multiply
    142,678.80x = 213,967.72 × 41,455.80
  4. Step 4: Simplify right side
    142,678.80x = 8,870,203,006.78
  5. Step 5: Solve for x
    x = 8,870,203,006.78/142,678.80
  6. Step 6: Final answer
    x = 62,169.03

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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.