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Finding the Fourth Proportional to 209,588.31, 289,230.39 and 114,094.76

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Solution

The fourth proportional to 209,588.31, 289,230.39 and 114,094.76 is: 157,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,588.31 : 289,230.39 = 114,094.76 : x
  2. Step 2: Convert to fraction form
    209,588.31/289,230.39 = 114,094.76/x
  3. Step 3: Cross multiply
    209,588.31x = 289,230.39 × 114,094.76
  4. Step 4: Simplify right side
    209,588.31x = 32,999,670,485.60
  5. Step 5: Solve for x
    x = 32,999,670,485.60/209,588.31
  6. Step 6: Final answer
    x = 157,449.96

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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.