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Finding the Fourth Proportional to 209,732.88, 289,435.80 and 114,239.34

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Solution

The fourth proportional to 209,732.88, 289,435.80 and 114,239.34 is: 157,652.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,732.88 : 289,435.80 = 114,239.34 : x
  2. Step 2: Convert to fraction form
    209,732.88/289,435.80 = 114,239.34/x
  3. Step 3: Cross multiply
    209,732.88x = 289,435.80 × 114,239.34
  4. Step 4: Simplify right side
    209,732.88x = 33,064,954,764.37
  5. Step 5: Solve for x
    x = 33,064,954,764.37/209,732.88
  6. Step 6: Final answer
    x = 157,652.70

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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.