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Finding the Fourth Proportional to 301,921.16, 416,642.74 and 165,955.37

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Solution

The fourth proportional to 301,921.16, 416,642.74 and 165,955.37 is: 229,013.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,921.16 : 416,642.74 = 165,955.37 : x
  2. Step 2: Convert to fraction form
    301,921.16/416,642.74 = 165,955.37/x
  3. Step 3: Cross multiply
    301,921.16x = 416,642.74 × 165,955.37
  4. Step 4: Simplify right side
    301,921.16x = 69,144,097,576.41
  5. Step 5: Solve for x
    x = 69,144,097,576.41/301,921.16
  6. Step 6: Final answer
    x = 229,013.76

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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.