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Finding the Fourth Proportional to 208,895.69, 288,245.63 and 119,454.41

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Solution

The fourth proportional to 208,895.69, 288,245.63 and 119,454.41 is: 164,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,895.69 : 288,245.63 = 119,454.41 : x
  2. Step 2: Convert to fraction form
    208,895.69/288,245.63 = 119,454.41/x
  3. Step 3: Cross multiply
    208,895.69x = 288,245.63 × 119,454.41
  4. Step 4: Simplify right side
    208,895.69x = 34,432,210,524.14
  5. Step 5: Solve for x
    x = 34,432,210,524.14/208,895.69
  6. Step 6: Final answer
    x = 164,829.69

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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.