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Finding the Fourth Proportional to 257,104.80, 385,657.20 and 67,564.80

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Solution

The fourth proportional to 257,104.80, 385,657.20 and 67,564.80 is: 101,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,104.80 : 385,657.20 = 67,564.80 : x
  2. Step 2: Convert to fraction form
    257,104.80/385,657.20 = 67,564.80/x
  3. Step 3: Cross multiply
    257,104.80x = 385,657.20 × 67,564.80
  4. Step 4: Simplify right side
    257,104.80x = 26,056,851,586.56
  5. Step 5: Solve for x
    x = 26,056,851,586.56/257,104.80
  6. Step 6: Final answer
    x = 101,347.20

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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.