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Finding the Fourth Proportional to 209,969.46, 289,757.65 and 114,476.13

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Solution

The fourth proportional to 209,969.46, 289,757.65 and 114,476.13 is: 157,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969.46 : 289,757.65 = 114,476.13 : x
  2. Step 2: Convert to fraction form
    209,969.46/289,757.65 = 114,476.13/x
  3. Step 3: Cross multiply
    209,969.46x = 289,757.65 × 114,476.13
  4. Step 4: Simplify right side
    209,969.46x = 33,170,334,409.89
  5. Step 5: Solve for x
    x = 33,170,334,409.89/209,969.46
  6. Step 6: Final answer
    x = 157,976.95

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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.