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Finding the Fourth Proportional to 237,802.60, 357,059.69 and 205,880.39

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Solution

The fourth proportional to 237,802.60, 357,059.69 and 205,880.39 is: 309,128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,802.60 : 357,059.69 = 205,880.39 : x
  2. Step 2: Convert to fraction form
    237,802.60/357,059.69 = 205,880.39/x
  3. Step 3: Cross multiply
    237,802.60x = 357,059.69 × 205,880.39
  4. Step 4: Simplify right side
    237,802.60x = 73,511,589,689.11
  5. Step 5: Solve for x
    x = 73,511,589,689.11/237,802.60
  6. Step 6: Final answer
    x = 309,128.63

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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.