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Finding the Fourth Proportional to 242,967.60, 364,184.10 and 85,114.80

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Solution

The fourth proportional to 242,967.60, 364,184.10 and 85,114.80 is: 127,578.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,967.60 : 364,184.10 = 85,114.80 : x
  2. Step 2: Convert to fraction form
    242,967.60/364,184.10 = 85,114.80/x
  3. Step 3: Cross multiply
    242,967.60x = 364,184.10 × 85,114.80
  4. Step 4: Simplify right side
    242,967.60x = 30,997,456,834.68
  5. Step 5: Solve for x
    x = 30,997,456,834.68/242,967.60
  6. Step 6: Final answer
    x = 127,578.56

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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.