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Finding the Fourth Proportional to 294,095.36, 405,827.88 and 166,782.80

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Solution

The fourth proportional to 294,095.36, 405,827.88 and 166,782.80 is: 230,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,095.36 : 405,827.88 = 166,782.80 : x
  2. Step 2: Convert to fraction form
    294,095.36/405,827.88 = 166,782.80/x
  3. Step 3: Cross multiply
    294,095.36x = 405,827.88 × 166,782.80
  4. Step 4: Simplify right side
    294,095.36x = 67,685,110,144.46
  5. Step 5: Solve for x
    x = 67,685,110,144.46/294,095.36
  6. Step 6: Final answer
    x = 230,146.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.