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Finding the Fourth Proportional to 302,048.83, 416,838.09 and 166,093.12

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Solution

The fourth proportional to 302,048.83, 416,838.09 and 166,093.12 is: 229,214.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,048.83 : 416,838.09 = 166,093.12 : x
  2. Step 2: Convert to fraction form
    302,048.83/416,838.09 = 166,093.12/x
  3. Step 3: Cross multiply
    302,048.83x = 416,838.09 × 166,093.12
  4. Step 4: Simplify right side
    302,048.83x = 69,233,938,902.94
  5. Step 5: Solve for x
    x = 69,233,938,902.94/302,048.83
  6. Step 6: Final answer
    x = 229,214.39

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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.