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Finding the Fourth Proportional to 208,816.32, 288,305.28 and 123,960.64

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Solution

The fourth proportional to 208,816.32, 288,305.28 and 123,960.64 is: 171,148.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,816.32 : 288,305.28 = 123,960.64 : x
  2. Step 2: Convert to fraction form
    208,816.32/288,305.28 = 123,960.64/x
  3. Step 3: Cross multiply
    208,816.32x = 288,305.28 × 123,960.64
  4. Step 4: Simplify right side
    208,816.32x = 35,738,507,024.18
  5. Step 5: Solve for x
    x = 35,738,507,024.18/208,816.32
  6. Step 6: Final answer
    x = 171,148.06

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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.