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Finding the Fourth Proportional to 237,318.64, 355,782.72 and 110,896.32

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Solution

The fourth proportional to 237,318.64, 355,782.72 and 110,896.32 is: 166,253.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,318.64 : 355,782.72 = 110,896.32 : x
  2. Step 2: Convert to fraction form
    237,318.64/355,782.72 = 110,896.32/x
  3. Step 3: Cross multiply
    237,318.64x = 355,782.72 × 110,896.32
  4. Step 4: Simplify right side
    237,318.64x = 39,454,994,367.59
  5. Step 5: Solve for x
    x = 39,454,994,367.59/237,318.64
  6. Step 6: Final answer
    x = 166,253.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.