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Finding the Fourth Proportional to 154,027.60, 231,048.60 and 48,854.80

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Solution

The fourth proportional to 154,027.60, 231,048.60 and 48,854.80 is: 73,284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,027.60 : 231,048.60 = 48,854.80 : x
  2. Step 2: Convert to fraction form
    154,027.60/231,048.60 = 48,854.80/x
  3. Step 3: Cross multiply
    154,027.60x = 231,048.60 × 48,854.80
  4. Step 4: Simplify right side
    154,027.60x = 11,287,833,143.28
  5. Step 5: Solve for x
    x = 11,287,833,143.28/154,027.60
  6. Step 6: Final answer
    x = 73,284.48

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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.