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Finding the Fourth Proportional to 270,985.60, 405,700.80 and 166,009.60

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Solution

The fourth proportional to 270,985.60, 405,700.80 and 166,009.60 is: 248,538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,985.60 : 405,700.80 = 166,009.60 : x
  2. Step 2: Convert to fraction form
    270,985.60/405,700.80 = 166,009.60/x
  3. Step 3: Cross multiply
    270,985.60x = 405,700.80 × 166,009.60
  4. Step 4: Simplify right side
    270,985.60x = 67,350,227,527.68
  5. Step 5: Solve for x
    x = 67,350,227,527.68/270,985.60
  6. Step 6: Final answer
    x = 248,538.03

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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.