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Finding the Fourth Proportional to 187,055.46, 280,583.19 and 46,814.09

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Solution

The fourth proportional to 187,055.46, 280,583.19 and 46,814.09 is: 70,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,055.46 : 280,583.19 = 46,814.09 : x
  2. Step 2: Convert to fraction form
    187,055.46/280,583.19 = 46,814.09/x
  3. Step 3: Cross multiply
    187,055.46x = 280,583.19 × 46,814.09
  4. Step 4: Simplify right side
    187,055.46x = 13,135,245,306.23
  5. Step 5: Solve for x
    x = 13,135,245,306.23/187,055.46
  6. Step 6: Final answer
    x = 70,221.13

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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.