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Finding the Fourth Proportional to 209,994.31, 289,793.46 and 114,502.60

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Solution

The fourth proportional to 209,994.31, 289,793.46 and 114,502.60 is: 158,014.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,994.31 : 289,793.46 = 114,502.60 : x
  2. Step 2: Convert to fraction form
    209,994.31/289,793.46 = 114,502.60/x
  3. Step 3: Cross multiply
    209,994.31x = 289,793.46 × 114,502.60
  4. Step 4: Simplify right side
    209,994.31x = 33,182,104,633.00
  5. Step 5: Solve for x
    x = 33,182,104,633.00/209,994.31
  6. Step 6: Final answer
    x = 158,014.30

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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.