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Finding the Fourth Proportional to 208,946.63, 288,346.34 and 119,522.63

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Solution

The fourth proportional to 208,946.63, 288,346.34 and 119,522.63 is: 164,941.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,946.63 : 288,346.34 = 119,522.63 : x
  2. Step 2: Convert to fraction form
    208,946.63/288,346.34 = 119,522.63/x
  3. Step 3: Cross multiply
    208,946.63x = 288,346.34 × 119,522.63
  4. Step 4: Simplify right side
    208,946.63x = 34,463,912,907.67
  5. Step 5: Solve for x
    x = 34,463,912,907.67/208,946.63
  6. Step 6: Final answer
    x = 164,941.22

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1.5x scale

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.