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Finding the Fourth Proportional to 301,094.16, 415,515.18 and 165,119.64

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Solution

The fourth proportional to 301,094.16, 415,515.18 and 165,119.64 is: 227,867.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,094.16 : 415,515.18 = 165,119.64 : x
  2. Step 2: Convert to fraction form
    301,094.16/415,515.18 = 165,119.64/x
  3. Step 3: Cross multiply
    301,094.16x = 415,515.18 × 165,119.64
  4. Step 4: Simplify right side
    301,094.16x = 68,609,716,936.14
  5. Step 5: Solve for x
    x = 68,609,716,936.14/301,094.16
  6. Step 6: Final answer
    x = 227,867.98

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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.