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Finding the Fourth Proportional to 257,340.30, 385,878.78 and 107,539.68

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Solution

The fourth proportional to 257,340.30, 385,878.78 and 107,539.68 is: 161,254.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,340.30 : 385,878.78 = 107,539.68 : x
  2. Step 2: Convert to fraction form
    257,340.30/385,878.78 = 107,539.68/x
  3. Step 3: Cross multiply
    257,340.30x = 385,878.78 × 107,539.68
  4. Step 4: Simplify right side
    257,340.30x = 41,497,280,519.99
  5. Step 5: Solve for x
    x = 41,497,280,519.99/257,340.30
  6. Step 6: Final answer
    x = 161,254.50

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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.