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Finding the Fourth Proportional to 189,749.40, 284,582.16 and 54,784.15

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Solution

The fourth proportional to 189,749.40, 284,582.16 and 54,784.15 is: 82,164.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,749.40 : 284,582.16 = 54,784.15 : x
  2. Step 2: Convert to fraction form
    189,749.40/284,582.16 = 54,784.15/x
  3. Step 3: Cross multiply
    189,749.40x = 284,582.16 × 54,784.15
  4. Step 4: Simplify right side
    189,749.40x = 15,590,591,740.76
  5. Step 5: Solve for x
    x = 15,590,591,740.76/189,749.40
  6. Step 6: Final answer
    x = 82,164.12

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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.