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Finding the Fourth Proportional to 120,186, 180,281.43 and 37,080

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Solution

The fourth proportional to 120,186, 180,281.43 and 37,080 is: 55,620.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,186 : 180,281.43 = 37,080 : x
  2. Step 2: Convert to fraction form
    120,186/180,281.43 = 37,080/x
  3. Step 3: Cross multiply
    120,186x = 180,281.43 × 37,080
  4. Step 4: Simplify right side
    120,186x = 6,684,835,424.40
  5. Step 5: Solve for x
    x = 6,684,835,424.40/120,186
  6. Step 6: Final answer
    x = 55,620.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.