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Finding the Fourth Proportional to 242,693.60, 364,040.40 and 137,717.60

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Solution

The fourth proportional to 242,693.60, 364,040.40 and 137,717.60 is: 206,576.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,693.60 : 364,040.40 = 137,717.60 : x
  2. Step 2: Convert to fraction form
    242,693.60/364,040.40 = 137,717.60/x
  3. Step 3: Cross multiply
    242,693.60x = 364,040.40 × 137,717.60
  4. Step 4: Simplify right side
    242,693.60x = 50,134,770,191.04
  5. Step 5: Solve for x
    x = 50,134,770,191.04/242,693.60
  6. Step 6: Final answer
    x = 206,576.40

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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.