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Finding the Fourth Proportional to 223,968, 335,986.56 and 83,746.56

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Solution

The fourth proportional to 223,968, 335,986.56 and 83,746.56 is: 125,632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,968 : 335,986.56 = 83,746.56 : x
  2. Step 2: Convert to fraction form
    223,968/335,986.56 = 83,746.56/x
  3. Step 3: Cross multiply
    223,968x = 335,986.56 × 83,746.56
  4. Step 4: Simplify right side
    223,968x = 28,137,718,606.23
  5. Step 5: Solve for x
    x = 28,137,718,606.23/223,968
  6. Step 6: Final answer
    x = 125,632.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.