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Finding the Fourth Proportional to 150,075.56, 225,146.62 and 56,582.12

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Solution

The fourth proportional to 150,075.56, 225,146.62 and 56,582.12 is: 84,885.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,075.56 : 225,146.62 = 56,582.12 : x
  2. Step 2: Convert to fraction form
    150,075.56/225,146.62 = 56,582.12/x
  3. Step 3: Cross multiply
    150,075.56x = 225,146.62 × 56,582.12
  4. Step 4: Simplify right side
    150,075.56x = 12,739,273,070.43
  5. Step 5: Solve for x
    x = 12,739,273,070.43/150,075.56
  6. Step 6: Final answer
    x = 84,885.73

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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.