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Finding the Fourth Proportional to 209,809.87, 289,539.74 and 114,318.16

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Solution

The fourth proportional to 209,809.87, 289,539.74 and 114,318.16 is: 157,760.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,809.87 : 289,539.74 = 114,318.16 : x
  2. Step 2: Convert to fraction form
    209,809.87/289,539.74 = 114,318.16/x
  3. Step 3: Cross multiply
    209,809.87x = 289,539.74 × 114,318.16
  4. Step 4: Simplify right side
    209,809.87x = 33,099,649,885.62
  5. Step 5: Solve for x
    x = 33,099,649,885.62/209,809.87
  6. Step 6: Final answer
    x = 157,760.22

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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.