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Finding the Fourth Proportional to 209,712.70, 289,406.88 and 114,219.39

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Solution

The fourth proportional to 209,712.70, 289,406.88 and 114,219.39 is: 157,624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,712.70 : 289,406.88 = 114,219.39 : x
  2. Step 2: Convert to fraction form
    209,712.70/289,406.88 = 114,219.39/x
  3. Step 3: Cross multiply
    209,712.70x = 289,406.88 × 114,219.39
  4. Step 4: Simplify right side
    209,712.70x = 33,055,876,752.77
  5. Step 5: Solve for x
    x = 33,055,876,752.77/209,712.70
  6. Step 6: Final answer
    x = 157,624.59

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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.