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Finding the Fourth Proportional to 301,365, 415,903.14 and 167,229

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Solution

The fourth proportional to 301,365, 415,903.14 and 167,229 is: 230,786.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,365 : 415,903.14 = 167,229 : x
  2. Step 2: Convert to fraction form
    301,365/415,903.14 = 167,229/x
  3. Step 3: Cross multiply
    301,365x = 415,903.14 × 167,229
  4. Step 4: Simplify right side
    301,365x = 69,551,066,199.06
  5. Step 5: Solve for x
    x = 69,551,066,199.06/301,365
  6. Step 6: Final answer
    x = 230,786.81

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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.