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Finding the Fourth Proportional to 256,083.20, 384,124.80 and 137,985.20

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Solution

The fourth proportional to 256,083.20, 384,124.80 and 137,985.20 is: 206,977.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,083.20 : 384,124.80 = 137,985.20 : x
  2. Step 2: Convert to fraction form
    256,083.20/384,124.80 = 137,985.20/x
  3. Step 3: Cross multiply
    256,083.20x = 384,124.80 × 137,985.20
  4. Step 4: Simplify right side
    256,083.20x = 53,003,537,352.96
  5. Step 5: Solve for x
    x = 53,003,537,352.96/256,083.20
  6. Step 6: Final answer
    x = 206,977.80

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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.