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Finding the Fourth Proportional to 114,815.64, 172,236.42 and 48,243.36

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Solution

The fourth proportional to 114,815.64, 172,236.42 and 48,243.36 is: 72,370.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,815.64 : 172,236.42 = 48,243.36 : x
  2. Step 2: Convert to fraction form
    114,815.64/172,236.42 = 48,243.36/x
  3. Step 3: Cross multiply
    114,815.64x = 172,236.42 × 48,243.36
  4. Step 4: Simplify right side
    114,815.64x = 8,309,263,615.17
  5. Step 5: Solve for x
    x = 8,309,263,615.17/114,815.64
  6. Step 6: Final answer
    x = 72,370.49

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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.