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Finding the Fourth Proportional to 189,109.50, 283,712.85 and 70,782.54

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Solution

The fourth proportional to 189,109.50, 283,712.85 and 70,782.54 is: 106,192.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,109.50 : 283,712.85 = 70,782.54 : x
  2. Step 2: Convert to fraction form
    189,109.50/283,712.85 = 70,782.54/x
  3. Step 3: Cross multiply
    189,109.50x = 283,712.85 × 70,782.54
  4. Step 4: Simplify right side
    189,109.50x = 20,081,916,153.64
  5. Step 5: Solve for x
    x = 20,081,916,153.64/189,109.50
  6. Step 6: Final answer
    x = 106,192.00

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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.