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Finding the Fourth Proportional to 213,165.20, 294,160.20 and 117,671.60

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Solution

The fourth proportional to 213,165.20, 294,160.20 and 117,671.60 is: 162,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,165.20 : 294,160.20 = 117,671.60 : x
  2. Step 2: Convert to fraction form
    213,165.20/294,160.20 = 117,671.60/x
  3. Step 3: Cross multiply
    213,165.20x = 294,160.20 × 117,671.60
  4. Step 4: Simplify right side
    213,165.20x = 34,614,301,390.32
  5. Step 5: Solve for x
    x = 34,614,301,390.32/213,165.20
  6. Step 6: Final answer
    x = 162,382.52

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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.