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Finding the Fourth Proportional to 242,827.80, 364,241.70 and 137,851.80

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Solution

The fourth proportional to 242,827.80, 364,241.70 and 137,851.80 is: 206,777.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,827.80 : 364,241.70 = 137,851.80 : x
  2. Step 2: Convert to fraction form
    242,827.80/364,241.70 = 137,851.80/x
  3. Step 3: Cross multiply
    242,827.80x = 364,241.70 × 137,851.80
  4. Step 4: Simplify right side
    242,827.80x = 50,211,373,980.06
  5. Step 5: Solve for x
    x = 50,211,373,980.06/242,827.80
  6. Step 6: Final answer
    x = 206,777.70

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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.