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Finding the Fourth Proportional to 209,969.24, 289,754.76 and 114,475.76

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Solution

The fourth proportional to 209,969.24, 289,754.76 and 114,475.76 is: 157,975.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969.24 : 289,754.76 = 114,475.76 : x
  2. Step 2: Convert to fraction form
    209,969.24/289,754.76 = 114,475.76/x
  3. Step 3: Cross multiply
    209,969.24x = 289,754.76 × 114,475.76
  4. Step 4: Simplify right side
    209,969.24x = 33,169,896,364.62
  5. Step 5: Solve for x
    x = 33,169,896,364.62/209,969.24
  6. Step 6: Final answer
    x = 157,975.03

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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.