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Finding the Fourth Proportional to 294,126.75, 405,894.91 and 166,802.34

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Solution

The fourth proportional to 294,126.75, 405,894.91 and 166,802.34 is: 230,187.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,126.75 : 405,894.91 = 166,802.34 : x
  2. Step 2: Convert to fraction form
    294,126.75/405,894.91 = 166,802.34/x
  3. Step 3: Cross multiply
    294,126.75x = 405,894.91 × 166,802.34
  4. Step 4: Simplify right side
    294,126.75x = 67,704,220,782.09
  5. Step 5: Solve for x
    x = 67,704,220,782.09/294,126.75
  6. Step 6: Final answer
    x = 230,187.23

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1.5x scale

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.