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Finding the Fourth Proportional to 120,152.90, 180,229.50 and 49,075.54

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Solution

The fourth proportional to 120,152.90, 180,229.50 and 49,075.54 is: 73,613.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,152.90 : 180,229.50 = 49,075.54 : x
  2. Step 2: Convert to fraction form
    120,152.90/180,229.50 = 49,075.54/x
  3. Step 3: Cross multiply
    120,152.90x = 180,229.50 × 49,075.54
  4. Step 4: Simplify right side
    120,152.90x = 8,844,860,036.43
  5. Step 5: Solve for x
    x = 8,844,860,036.43/120,152.90
  6. Step 6: Final answer
    x = 73,613.37

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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.