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Finding the Fourth Proportional to 120,362.32, 180,586.68 and 53,796.88

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Solution

The fourth proportional to 120,362.32, 180,586.68 and 53,796.88 is: 80,714.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,362.32 : 180,586.68 = 53,796.88 : x
  2. Step 2: Convert to fraction form
    120,362.32/180,586.68 = 53,796.88/x
  3. Step 3: Cross multiply
    120,362.32x = 180,586.68 × 53,796.88
  4. Step 4: Simplify right side
    120,362.32x = 9,714,999,953.56
  5. Step 5: Solve for x
    x = 9,714,999,953.56/120,362.32
  6. Step 6: Final answer
    x = 80,714.63

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1.5x scale

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.