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Finding the Fourth Proportional to 213,168.20, 294,164.34 and 117,674.60

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Solution

The fourth proportional to 213,168.20, 294,164.34 and 117,674.60 is: 162,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,168.20 : 294,164.34 = 117,674.60 : x
  2. Step 2: Convert to fraction form
    213,168.20/294,164.34 = 117,674.60/x
  3. Step 3: Cross multiply
    213,168.20x = 294,164.34 × 117,674.60
  4. Step 4: Simplify right side
    213,168.20x = 34,615,671,043.76
  5. Step 5: Solve for x
    x = 34,615,671,043.76/213,168.20
  6. Step 6: Final answer
    x = 162,386.66

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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.