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Finding the Fourth Proportional to 209,783.80, 289,500.78 and 114,290.20

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Solution

The fourth proportional to 209,783.80, 289,500.78 and 114,290.20 is: 157,720.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,783.80 : 289,500.78 = 114,290.20 : x
  2. Step 2: Convert to fraction form
    209,783.80/289,500.78 = 114,290.20/x
  3. Step 3: Cross multiply
    209,783.80x = 289,500.78 × 114,290.20
  4. Step 4: Simplify right side
    209,783.80x = 33,087,102,046.36
  5. Step 5: Solve for x
    x = 33,087,102,046.36/209,783.80
  6. Step 6: Final answer
    x = 157,720.01

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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.