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Finding the Fourth Proportional to 214,252.80, 295,671.36 and 118,760.64

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Solution

The fourth proportional to 214,252.80, 295,671.36 and 118,760.64 is: 163,891.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,252.80 : 295,671.36 = 118,760.64 : x
  2. Step 2: Convert to fraction form
    214,252.80/295,671.36 = 118,760.64/x
  3. Step 3: Cross multiply
    214,252.80x = 295,671.36 × 118,760.64
  4. Step 4: Simplify right side
    214,252.80x = 35,114,119,943.27
  5. Step 5: Solve for x
    x = 35,114,119,943.27/214,252.80
  6. Step 6: Final answer
    x = 163,891.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.