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Finding the Fourth Proportional to 120,790.58, 181,200.26 and 58,416.26

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Solution

The fourth proportional to 120,790.58, 181,200.26 and 58,416.26 is: 87,631.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,790.58 : 181,200.26 = 58,416.26 : x
  2. Step 2: Convert to fraction form
    120,790.58/181,200.26 = 58,416.26/x
  3. Step 3: Cross multiply
    120,790.58x = 181,200.26 × 58,416.26
  4. Step 4: Simplify right side
    120,790.58x = 10,585,041,500.23
  5. Step 5: Solve for x
    x = 10,585,041,500.23/120,790.58
  6. Step 6: Final answer
    x = 87,631.35

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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.