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Finding the Fourth Proportional to 209,715.30, 289,410.57 and 114,223.86

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Solution

The fourth proportional to 209,715.30, 289,410.57 and 114,223.86 is: 157,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,715.30 : 289,410.57 = 114,223.86 : x
  2. Step 2: Convert to fraction form
    209,715.30/289,410.57 = 114,223.86/x
  3. Step 3: Cross multiply
    209,715.30x = 289,410.57 × 114,223.86
  4. Step 4: Simplify right side
    209,715.30x = 33,057,592,430.20
  5. Step 5: Solve for x
    x = 33,057,592,430.20/209,715.30
  6. Step 6: Final answer
    x = 157,630.81

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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.