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Finding the Fourth Proportional to 120,154.08, 180,233.60 and 37,048

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Solution

The fourth proportional to 120,154.08, 180,233.60 and 37,048 is: 55,572.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,154.08 : 180,233.60 = 37,048 : x
  2. Step 2: Convert to fraction form
    120,154.08/180,233.60 = 37,048/x
  3. Step 3: Cross multiply
    120,154.08x = 180,233.60 × 37,048
  4. Step 4: Simplify right side
    120,154.08x = 6,677,294,412.80
  5. Step 5: Solve for x
    x = 6,677,294,412.80/120,154.08
  6. Step 6: Final answer
    x = 55,572.76

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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.