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Finding the Fourth Proportional to 120,709.42, 181,015.26 and 36,443.50

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Solution

The fourth proportional to 120,709.42, 181,015.26 and 36,443.50 is: 54,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,709.42 : 181,015.26 = 36,443.50 : x
  2. Step 2: Convert to fraction form
    120,709.42/181,015.26 = 36,443.50/x
  3. Step 3: Cross multiply
    120,709.42x = 181,015.26 × 36,443.50
  4. Step 4: Simplify right side
    120,709.42x = 6,596,829,627.81
  5. Step 5: Solve for x
    x = 6,596,829,627.81/120,709.42
  6. Step 6: Final answer
    x = 54,650.50

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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.