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Finding the Fourth Proportional to 302,144.34, 416,969.37 and 166,184.01

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Solution

The fourth proportional to 302,144.34, 416,969.37 and 166,184.01 is: 229,339.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,144.34 : 416,969.37 = 166,184.01 : x
  2. Step 2: Convert to fraction form
    302,144.34/416,969.37 = 166,184.01/x
  3. Step 3: Cross multiply
    302,144.34x = 416,969.37 × 166,184.01
  4. Step 4: Simplify right side
    302,144.34x = 69,293,641,953.77
  5. Step 5: Solve for x
    x = 69,293,641,953.77/302,144.34
  6. Step 6: Final answer
    x = 229,339.53

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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.