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Finding the Fourth Proportional to 302,104.51, 416,895.91 and 166,138.46

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Solution

The fourth proportional to 302,104.51, 416,895.91 and 166,138.46 is: 229,266.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,104.51 : 416,895.91 = 166,138.46 : x
  2. Step 2: Convert to fraction form
    302,104.51/416,895.91 = 166,138.46/x
  3. Step 3: Cross multiply
    302,104.51x = 416,895.91 × 166,138.46
  4. Step 4: Simplify right side
    302,104.51x = 69,262,443,531.23
  5. Step 5: Solve for x
    x = 69,262,443,531.23/302,104.51
  6. Step 6: Final answer
    x = 229,266.50

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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.