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Finding the Fourth Proportional to 209,752.74, 289,458.09 and 114,259.14

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Solution

The fourth proportional to 209,752.74, 289,458.09 and 114,259.14 is: 157,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,752.74 : 289,458.09 = 114,259.14 : x
  2. Step 2: Convert to fraction form
    209,752.74/289,458.09 = 114,259.14/x
  3. Step 3: Cross multiply
    209,752.74x = 289,458.09 × 114,259.14
  4. Step 4: Simplify right side
    209,752.74x = 33,073,232,429.44
  5. Step 5: Solve for x
    x = 33,073,232,429.44/209,752.74
  6. Step 6: Final answer
    x = 157,677.24

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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.