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Finding the Fourth Proportional to 189,825.60, 284,817 and 83,154.45

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Solution

The fourth proportional to 189,825.60, 284,817 and 83,154.45 is: 124,766.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,825.60 : 284,817 = 83,154.45 : x
  2. Step 2: Convert to fraction form
    189,825.60/284,817 = 83,154.45/x
  3. Step 3: Cross multiply
    189,825.60x = 284,817 × 83,154.45
  4. Step 4: Simplify right side
    189,825.60x = 23,683,800,985.65
  5. Step 5: Solve for x
    x = 23,683,800,985.65/189,825.60
  6. Step 6: Final answer
    x = 124,766.11

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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.