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Finding the Fourth Proportional to 209,189.37, 288,681.74 and 113,695.84

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Solution

The fourth proportional to 209,189.37, 288,681.74 and 113,695.84 is: 156,900.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,189.37 : 288,681.74 = 113,695.84 : x
  2. Step 2: Convert to fraction form
    209,189.37/288,681.74 = 113,695.84/x
  3. Step 3: Cross multiply
    209,189.37x = 288,681.74 × 113,695.84
  4. Step 4: Simplify right side
    209,189.37x = 32,821,912,921.96
  5. Step 5: Solve for x
    x = 32,821,912,921.96/209,189.37
  6. Step 6: Final answer
    x = 156,900.48

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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.