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Finding the Fourth Proportional to 208,916.40, 288,019 and 143,503.24

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Solution

The fourth proportional to 208,916.40, 288,019 and 143,503.24 is: 197,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,916.40 : 288,019 = 143,503.24 : x
  2. Step 2: Convert to fraction form
    208,916.40/288,019 = 143,503.24/x
  3. Step 3: Cross multiply
    208,916.40x = 288,019 × 143,503.24
  4. Step 4: Simplify right side
    208,916.40x = 41,331,659,681.56
  5. Step 5: Solve for x
    x = 41,331,659,681.56/208,916.40
  6. Step 6: Final answer
    x = 197,838.27

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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.