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Finding the Fourth Proportional to 301,029.14, 415,424.90 and 165,075.50

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Solution

The fourth proportional to 301,029.14, 415,424.90 and 165,075.50 is: 227,806.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,029.14 : 415,424.90 = 165,075.50 : x
  2. Step 2: Convert to fraction form
    301,029.14/415,424.90 = 165,075.50/x
  3. Step 3: Cross multiply
    301,029.14x = 415,424.90 × 165,075.50
  4. Step 4: Simplify right side
    301,029.14x = 68,576,473,079.95
  5. Step 5: Solve for x
    x = 68,576,473,079.95/301,029.14
  6. Step 6: Final answer
    x = 227,806.76

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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.