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Finding the Fourth Proportional to 301,964.34, 416,718.81 and 164,152.53

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Solution

The fourth proportional to 301,964.34, 416,718.81 and 164,152.53 is: 226,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,964.34 : 416,718.81 = 164,152.53 : x
  2. Step 2: Convert to fraction form
    301,964.34/416,718.81 = 164,152.53/x
  3. Step 3: Cross multiply
    301,964.34x = 416,718.81 × 164,152.53
  4. Step 4: Simplify right side
    301,964.34x = 68,405,446,960.09
  5. Step 5: Solve for x
    x = 68,405,446,960.09/301,964.34
  6. Step 6: Final answer
    x = 226,534.85

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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.