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Finding the Fourth Proportional to 120,274.92, 180,368.64 and 41,367.96

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Solution

The fourth proportional to 120,274.92, 180,368.64 and 41,367.96 is: 62,036.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,274.92 : 180,368.64 = 41,367.96 : x
  2. Step 2: Convert to fraction form
    120,274.92/180,368.64 = 41,367.96/x
  3. Step 3: Cross multiply
    120,274.92x = 180,368.64 × 41,367.96
  4. Step 4: Simplify right side
    120,274.92x = 7,461,482,684.77
  5. Step 5: Solve for x
    x = 7,461,482,684.77/120,274.92
  6. Step 6: Final answer
    x = 62,036.90

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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.