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Finding the Fourth Proportional to 301,995.89, 416,743.71 and 166,028.85

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Solution

The fourth proportional to 301,995.89, 416,743.71 and 166,028.85 is: 229,113.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,995.89 : 416,743.71 = 166,028.85 : x
  2. Step 2: Convert to fraction form
    301,995.89/416,743.71 = 166,028.85/x
  3. Step 3: Cross multiply
    301,995.89x = 416,743.71 × 166,028.85
  4. Step 4: Simplify right side
    301,995.89x = 69,191,478,916.03
  5. Step 5: Solve for x
    x = 69,191,478,916.03/301,995.89
  6. Step 6: Final answer
    x = 229,113.98

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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.