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Finding the Fourth Proportional to 225,784.56, 311,582.50 and 123,811.64

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Solution

The fourth proportional to 225,784.56, 311,582.50 and 123,811.64 is: 170,859.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,784.56 : 311,582.50 = 123,811.64 : x
  2. Step 2: Convert to fraction form
    225,784.56/311,582.50 = 123,811.64/x
  3. Step 3: Cross multiply
    225,784.56x = 311,582.50 × 123,811.64
  4. Step 4: Simplify right side
    225,784.56x = 38,577,539,621.29
  5. Step 5: Solve for x
    x = 38,577,539,621.29/225,784.56
  6. Step 6: Final answer
    x = 170,859.95

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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.