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Finding the Fourth Proportional to 301,176.94, 415,628.04 and 165,202

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Solution

The fourth proportional to 301,176.94, 415,628.04 and 165,202 is: 227,980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,176.94 : 415,628.04 = 165,202 : x
  2. Step 2: Convert to fraction form
    301,176.94/415,628.04 = 165,202/x
  3. Step 3: Cross multiply
    301,176.94x = 415,628.04 × 165,202
  4. Step 4: Simplify right side
    301,176.94x = 68,662,583,464.08
  5. Step 5: Solve for x
    x = 68,662,583,464.08/301,176.94
  6. Step 6: Final answer
    x = 227,980.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.