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Finding the Fourth Proportional to 260,131, 358,980.78 and 140,899

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Solution

The fourth proportional to 260,131, 358,980.78 and 140,899 is: 194,440.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,131 : 358,980.78 = 140,899 : x
  2. Step 2: Convert to fraction form
    260,131/358,980.78 = 140,899/x
  3. Step 3: Cross multiply
    260,131x = 358,980.78 × 140,899
  4. Step 4: Simplify right side
    260,131x = 50,580,032,921.22
  5. Step 5: Solve for x
    x = 50,580,032,921.22/260,131
  6. Step 6: Final answer
    x = 194,440.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.