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Finding the Fourth Proportional to 180,349.92, 248,854.32 and 116,690.40

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Solution

The fourth proportional to 180,349.92, 248,854.32 and 116,690.40 is: 161,014.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,349.92 : 248,854.32 = 116,690.40 : x
  2. Step 2: Convert to fraction form
    180,349.92/248,854.32 = 116,690.40/x
  3. Step 3: Cross multiply
    180,349.92x = 248,854.32 × 116,690.40
  4. Step 4: Simplify right side
    180,349.92x = 29,038,910,142.53
  5. Step 5: Solve for x
    x = 29,038,910,142.53/180,349.92
  6. Step 6: Final answer
    x = 161,014.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.