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Finding the Fourth Proportional to 302,094.63, 416,881.76 and 166,128.43

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Solution

The fourth proportional to 302,094.63, 416,881.76 and 166,128.43 is: 229,252.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,094.63 : 416,881.76 = 166,128.43 : x
  2. Step 2: Convert to fraction form
    302,094.63/416,881.76 = 166,128.43/x
  3. Step 3: Cross multiply
    302,094.63x = 416,881.76 × 166,128.43
  4. Step 4: Simplify right side
    302,094.63x = 69,255,912,284.44
  5. Step 5: Solve for x
    x = 69,255,912,284.44/302,094.63
  6. Step 6: Final answer
    x = 229,252.38

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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.