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Finding the Fourth Proportional to 260,083.80, 390,125.70 and 256,147.20

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Solution

The fourth proportional to 260,083.80, 390,125.70 and 256,147.20 is: 384,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,083.80 : 390,125.70 = 256,147.20 : x
  2. Step 2: Convert to fraction form
    260,083.80/390,125.70 = 256,147.20/x
  3. Step 3: Cross multiply
    260,083.80x = 390,125.70 × 256,147.20
  4. Step 4: Simplify right side
    260,083.80x = 99,929,605,703.04
  5. Step 5: Solve for x
    x = 99,929,605,703.04/260,083.80
  6. Step 6: Final answer
    x = 384,220.80

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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.