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Finding the Fourth Proportional to 118,257.10, 177,453.87 and 65,662.18

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Solution

The fourth proportional to 118,257.10, 177,453.87 and 65,662.18 is: 98,531.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,257.10 : 177,453.87 = 65,662.18 : x
  2. Step 2: Convert to fraction form
    118,257.10/177,453.87 = 65,662.18/x
  3. Step 3: Cross multiply
    118,257.10x = 177,453.87 × 65,662.18
  4. Step 4: Simplify right side
    118,257.10x = 11,652,007,953.64
  5. Step 5: Solve for x
    x = 11,652,007,953.64/118,257.10
  6. Step 6: Final answer
    x = 98,531.15

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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.