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Finding the Fourth Proportional to 209,876.80, 289,621.54 and 114,381.44

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Solution

The fourth proportional to 209,876.80, 289,621.54 and 114,381.44 is: 157,841.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,876.80 : 289,621.54 = 114,381.44 : x
  2. Step 2: Convert to fraction form
    209,876.80/289,621.54 = 114,381.44/x
  3. Step 3: Cross multiply
    209,876.80x = 289,621.54 × 114,381.44
  4. Step 4: Simplify right side
    209,876.80x = 33,127,328,800.22
  5. Step 5: Solve for x
    x = 33,127,328,800.22/209,876.80
  6. Step 6: Final answer
    x = 157,841.79

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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.