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Finding the Fourth Proportional to 154,643.94, 231,900.30 and 54,829.26

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Solution

The fourth proportional to 154,643.94, 231,900.30 and 54,829.26 is: 82,220.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,643.94 : 231,900.30 = 54,829.26 : x
  2. Step 2: Convert to fraction form
    154,643.94/231,900.30 = 54,829.26/x
  3. Step 3: Cross multiply
    154,643.94x = 231,900.30 × 54,829.26
  4. Step 4: Simplify right side
    154,643.94x = 12,714,921,842.78
  5. Step 5: Solve for x
    x = 12,714,921,842.78/154,643.94
  6. Step 6: Final answer
    x = 82,220.63

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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.