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Finding the Fourth Proportional to 208,947, 288,346.86 and 119,523

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Solution

The fourth proportional to 208,947, 288,346.86 and 119,523 is: 164,941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,947 : 288,346.86 = 119,523 : x
  2. Step 2: Convert to fraction form
    208,947/288,346.86 = 119,523/x
  3. Step 3: Cross multiply
    208,947x = 288,346.86 × 119,523
  4. Step 4: Simplify right side
    208,947x = 34,464,081,747.78
  5. Step 5: Solve for x
    x = 34,464,081,747.78/208,947
  6. Step 6: Final answer
    x = 164,941.74

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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.