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Finding the Fourth Proportional to 301,077.65, 415,448.97 and 165,075.81

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Solution

The fourth proportional to 301,077.65, 415,448.97 and 165,075.81 is: 227,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,077.65 : 415,448.97 = 165,075.81 : x
  2. Step 2: Convert to fraction form
    301,077.65/415,448.97 = 165,075.81/x
  3. Step 3: Cross multiply
    301,077.65x = 415,448.97 × 165,075.81
  4. Step 4: Simplify right side
    301,077.65x = 68,580,575,236.42
  5. Step 5: Solve for x
    x = 68,580,575,236.42/301,077.65
  6. Step 6: Final answer
    x = 227,783.68

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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.