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Finding the Fourth Proportional to 103,682.30, 155,293.05 and 89,858.30

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Solution

The fourth proportional to 103,682.30, 155,293.05 and 89,858.30 is: 134,587.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,682.30 : 155,293.05 = 89,858.30 : x
  2. Step 2: Convert to fraction form
    103,682.30/155,293.05 = 89,858.30/x
  3. Step 3: Cross multiply
    103,682.30x = 155,293.05 × 89,858.30
  4. Step 4: Simplify right side
    103,682.30x = 13,954,369,474.82
  5. Step 5: Solve for x
    x = 13,954,369,474.82/103,682.30
  6. Step 6: Final answer
    x = 134,587.77

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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.