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Finding the Fourth Proportional to 295,168.60, 442,242.60 and 137,072.80

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Solution

The fourth proportional to 295,168.60, 442,242.60 and 137,072.80 is: 205,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,168.60 : 442,242.60 = 137,072.80 : x
  2. Step 2: Convert to fraction form
    295,168.60/442,242.60 = 137,072.80/x
  3. Step 3: Cross multiply
    295,168.60x = 442,242.60 × 137,072.80
  4. Step 4: Simplify right side
    295,168.60x = 60,619,431,461.28
  5. Step 5: Solve for x
    x = 60,619,431,461.28/295,168.60
  6. Step 6: Final answer
    x = 205,372.22

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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.