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Finding the Fourth Proportional to 209,652.30, 289,323.63 and 114,160.86

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Solution

The fourth proportional to 209,652.30, 289,323.63 and 114,160.86 is: 157,543.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,652.30 : 289,323.63 = 114,160.86 : x
  2. Step 2: Convert to fraction form
    209,652.30/289,323.63 = 114,160.86/x
  3. Step 3: Cross multiply
    209,652.30x = 289,323.63 × 114,160.86
  4. Step 4: Simplify right side
    209,652.30x = 33,029,434,419.12
  5. Step 5: Solve for x
    x = 33,029,434,419.12/209,652.30
  6. Step 6: Final answer
    x = 157,543.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.