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Finding the Fourth Proportional to 270,712.60, 406,068.90 and 165,736.60

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Solution

The fourth proportional to 270,712.60, 406,068.90 and 165,736.60 is: 248,604.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,712.60 : 406,068.90 = 165,736.60 : x
  2. Step 2: Convert to fraction form
    270,712.60/406,068.90 = 165,736.60/x
  3. Step 3: Cross multiply
    270,712.60x = 406,068.90 × 165,736.60
  4. Step 4: Simplify right side
    270,712.60x = 67,300,478,851.74
  5. Step 5: Solve for x
    x = 67,300,478,851.74/270,712.60
  6. Step 6: Final answer
    x = 248,604.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.