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Finding the Fourth Proportional to 301,133.74, 415,561.73 and 165,164.92

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Solution

The fourth proportional to 301,133.74, 415,561.73 and 165,164.92 is: 227,926.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,133.74 : 415,561.73 = 165,164.92 : x
  2. Step 2: Convert to fraction form
    301,133.74/415,561.73 = 165,164.92/x
  3. Step 3: Cross multiply
    301,133.74x = 415,561.73 × 165,164.92
  4. Step 4: Simplify right side
    301,133.74x = 68,636,219,890.51
  5. Step 5: Solve for x
    x = 68,636,219,890.51/301,133.74
  6. Step 6: Final answer
    x = 227,926.04

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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.