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Finding the Fourth Proportional to 154,015.76, 231,032.04 and 48,827.12

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Solution

The fourth proportional to 154,015.76, 231,032.04 and 48,827.12 is: 73,243.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,015.76 : 231,032.04 = 48,827.12 : x
  2. Step 2: Convert to fraction form
    154,015.76/231,032.04 = 48,827.12/x
  3. Step 3: Cross multiply
    154,015.76x = 231,032.04 × 48,827.12
  4. Step 4: Simplify right side
    154,015.76x = 11,280,629,140.92
  5. Step 5: Solve for x
    x = 11,280,629,140.92/154,015.76
  6. Step 6: Final answer
    x = 73,243.34

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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.