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Finding the Fourth Proportional to 212,145.75, 292,769.37 and 116,650.40

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Solution

The fourth proportional to 212,145.75, 292,769.37 and 116,650.40 is: 160,982.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,145.75 : 292,769.37 = 116,650.40 : x
  2. Step 2: Convert to fraction form
    212,145.75/292,769.37 = 116,650.40/x
  3. Step 3: Cross multiply
    212,145.75x = 292,769.37 × 116,650.40
  4. Step 4: Simplify right side
    212,145.75x = 34,151,662,654.40
  5. Step 5: Solve for x
    x = 34,151,662,654.40/212,145.75
  6. Step 6: Final answer
    x = 160,982.07

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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.