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Finding the Fourth Proportional to 160,188.30, 240,298.74 and 54,993.60

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Solution

The fourth proportional to 160,188.30, 240,298.74 and 54,993.60 is: 82,495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,188.30 : 240,298.74 = 54,993.60 : x
  2. Step 2: Convert to fraction form
    160,188.30/240,298.74 = 54,993.60/x
  3. Step 3: Cross multiply
    160,188.30x = 240,298.74 × 54,993.60
  4. Step 4: Simplify right side
    160,188.30x = 13,214,892,788.06
  5. Step 5: Solve for x
    x = 13,214,892,788.06/160,188.30
  6. Step 6: Final answer
    x = 82,495.99

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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.