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Finding the Fourth Proportional to 205,559.96, 283,674.85 and 114,920.96

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Solution

The fourth proportional to 205,559.96, 283,674.85 and 114,920.96 is: 158,592.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,559.96 : 283,674.85 = 114,920.96 : x
  2. Step 2: Convert to fraction form
    205,559.96/283,674.85 = 114,920.96/x
  3. Step 3: Cross multiply
    205,559.96x = 283,674.85 × 114,920.96
  4. Step 4: Simplify right side
    205,559.96x = 32,600,184,384.18
  5. Step 5: Solve for x
    x = 32,600,184,384.18/205,559.96
  6. Step 6: Final answer
    x = 158,592.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.