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Finding the Fourth Proportional to 153,585.21, 230,361.44 and 53,747.31

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Solution

The fourth proportional to 153,585.21, 230,361.44 and 53,747.31 is: 80,615.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,585.21 : 230,361.44 = 53,747.31 : x
  2. Step 2: Convert to fraction form
    153,585.21/230,361.44 = 53,747.31/x
  3. Step 3: Cross multiply
    153,585.21x = 230,361.44 × 53,747.31
  4. Step 4: Simplify right side
    153,585.21x = 12,381,307,727.73
  5. Step 5: Solve for x
    x = 12,381,307,727.73/153,585.21
  6. Step 6: Final answer
    x = 80,615.23

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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.