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Finding the Fourth Proportional to 147,006.10, 220,181.10 and 120,762.10

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Solution

The fourth proportional to 147,006.10, 220,181.10 and 120,762.10 is: 180,873.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,006.10 : 220,181.10 = 120,762.10 : x
  2. Step 2: Convert to fraction form
    147,006.10/220,181.10 = 120,762.10/x
  3. Step 3: Cross multiply
    147,006.10x = 220,181.10 × 120,762.10
  4. Step 4: Simplify right side
    147,006.10x = 26,589,532,016.31
  5. Step 5: Solve for x
    x = 26,589,532,016.31/147,006.10
  6. Step 6: Final answer
    x = 180,873.66

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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.