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Finding the Fourth Proportional to 186,745.01, 257,690.80 and 106,156.80

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Solution

The fourth proportional to 186,745.01, 257,690.80 and 106,156.80 is: 146,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,745.01 : 257,690.80 = 106,156.80 : x
  2. Step 2: Convert to fraction form
    186,745.01/257,690.80 = 106,156.80/x
  3. Step 3: Cross multiply
    186,745.01x = 257,690.80 × 106,156.80
  4. Step 4: Simplify right side
    186,745.01x = 27,355,630,452.05
  5. Step 5: Solve for x
    x = 27,355,630,452.05/186,745.01
  6. Step 6: Final answer
    x = 146,486.54

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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.