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Finding the Fourth Proportional to 209,969.64, 289,750.77 and 114,474.42

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Solution

The fourth proportional to 209,969.64, 289,750.77 and 114,474.42 is: 157,970.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,969.64 : 289,750.77 = 114,474.42 : x
  2. Step 2: Convert to fraction form
    209,969.64/289,750.77 = 114,474.42/x
  3. Step 3: Cross multiply
    209,969.64x = 289,750.77 × 114,474.42
  4. Step 4: Simplify right side
    209,969.64x = 33,169,051,340.30
  5. Step 5: Solve for x
    x = 33,169,051,340.30/209,969.64
  6. Step 6: Final answer
    x = 157,970.70

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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.