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Finding the Fourth Proportional to 254,567.80, 381,803.10 and 77,080.60

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Solution

The fourth proportional to 254,567.80, 381,803.10 and 77,080.60 is: 115,606.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,567.80 : 381,803.10 = 77,080.60 : x
  2. Step 2: Convert to fraction form
    254,567.80/381,803.10 = 77,080.60/x
  3. Step 3: Cross multiply
    254,567.80x = 381,803.10 × 77,080.60
  4. Step 4: Simplify right side
    254,567.80x = 29,429,612,029.86
  5. Step 5: Solve for x
    x = 29,429,612,029.86/254,567.80
  6. Step 6: Final answer
    x = 115,606.18

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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.