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Finding the Fourth Proportional to 159,075.72, 238,608.05 and 40,748.09

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Solution

The fourth proportional to 159,075.72, 238,608.05 and 40,748.09 is: 61,120.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,075.72 : 238,608.05 = 40,748.09 : x
  2. Step 2: Convert to fraction form
    159,075.72/238,608.05 = 40,748.09/x
  3. Step 3: Cross multiply
    159,075.72x = 238,608.05 × 40,748.09
  4. Step 4: Simplify right side
    159,075.72x = 9,722,820,899.34
  5. Step 5: Solve for x
    x = 9,722,820,899.34/159,075.72
  6. Step 6: Final answer
    x = 61,120.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.