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Finding the Fourth Proportional to 146,852.10, 219,950.10 and 120,608.10

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Solution

The fourth proportional to 146,852.10, 219,950.10 and 120,608.10 is: 180,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,852.10 : 219,950.10 = 120,608.10 : x
  2. Step 2: Convert to fraction form
    146,852.10/219,950.10 = 120,608.10/x
  3. Step 3: Cross multiply
    146,852.10x = 219,950.10 × 120,608.10
  4. Step 4: Simplify right side
    146,852.10x = 26,527,763,655.81
  5. Step 5: Solve for x
    x = 26,527,763,655.81/146,852.10
  6. Step 6: Final answer
    x = 180,642.73

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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.