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Finding the Fourth Proportional to 154,029.60, 231,051.60 and 48,856.80

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Solution

The fourth proportional to 154,029.60, 231,051.60 and 48,856.80 is: 73,287.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,029.60 : 231,051.60 = 48,856.80 : x
  2. Step 2: Convert to fraction form
    154,029.60/231,051.60 = 48,856.80/x
  3. Step 3: Cross multiply
    154,029.60x = 231,051.60 × 48,856.80
  4. Step 4: Simplify right side
    154,029.60x = 11,288,441,810.88
  5. Step 5: Solve for x
    x = 11,288,441,810.88/154,029.60
  6. Step 6: Final answer
    x = 73,287.48

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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.