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Finding the Fourth Proportional to 294,106.65, 405,867.14 and 166,782.25

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Solution

The fourth proportional to 294,106.65, 405,867.14 and 166,782.25 is: 230,159.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,106.65 : 405,867.14 = 166,782.25 : x
  2. Step 2: Convert to fraction form
    294,106.65/405,867.14 = 166,782.25/x
  3. Step 3: Cross multiply
    294,106.65x = 405,867.14 × 166,782.25
  4. Step 4: Simplify right side
    294,106.65x = 67,691,434,810.27
  5. Step 5: Solve for x
    x = 67,691,434,810.27/294,106.65
  6. Step 6: Final answer
    x = 230,159.48

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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.