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Finding the Fourth Proportional to 150,737.28, 208,007.04 and 83,664

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Solution

The fourth proportional to 150,737.28, 208,007.04 and 83,664 is: 115,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,737.28 : 208,007.04 = 83,664 : x
  2. Step 2: Convert to fraction form
    150,737.28/208,007.04 = 83,664/x
  3. Step 3: Cross multiply
    150,737.28x = 208,007.04 × 83,664
  4. Step 4: Simplify right side
    150,737.28x = 17,402,700,994.56
  5. Step 5: Solve for x
    x = 17,402,700,994.56/150,737.28
  6. Step 6: Final answer
    x = 115,450.54

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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.