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Finding the Fourth Proportional to 208,806.48, 288,153.13 and 113,313.17

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Solution

The fourth proportional to 208,806.48, 288,153.13 and 113,313.17 is: 156,372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,806.48 : 288,153.13 = 113,313.17 : x
  2. Step 2: Convert to fraction form
    208,806.48/288,153.13 = 113,313.17/x
  3. Step 3: Cross multiply
    208,806.48x = 288,153.13 × 113,313.17
  4. Step 4: Simplify right side
    208,806.48x = 32,651,544,901.18
  5. Step 5: Solve for x
    x = 32,651,544,901.18/208,806.48
  6. Step 6: Final answer
    x = 156,372.28

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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.