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Finding the Fourth Proportional to 257,006.54, 385,644.67 and 105,316.22

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Solution

The fourth proportional to 257,006.54, 385,644.67 and 105,316.22 is: 158,029.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,006.54 : 385,644.67 = 105,316.22 : x
  2. Step 2: Convert to fraction form
    257,006.54/385,644.67 = 105,316.22/x
  3. Step 3: Cross multiply
    257,006.54x = 385,644.67 × 105,316.22
  4. Step 4: Simplify right side
    257,006.54x = 40,614,636,716.03
  5. Step 5: Solve for x
    x = 40,614,636,716.03/257,006.54
  6. Step 6: Final answer
    x = 158,029.59

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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.