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Finding the Fourth Proportional to 330,175.42, 495,238.91 and 105,475.51

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Solution

The fourth proportional to 330,175.42, 495,238.91 and 105,475.51 is: 158,205.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,175.42 : 495,238.91 = 105,475.51 : x
  2. Step 2: Convert to fraction form
    330,175.42/495,238.91 = 105,475.51/x
  3. Step 3: Cross multiply
    330,175.42x = 495,238.91 × 105,475.51
  4. Step 4: Simplify right side
    330,175.42x = 52,235,576,695.77
  5. Step 5: Solve for x
    x = 52,235,576,695.77/330,175.42
  6. Step 6: Final answer
    x = 158,205.53

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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.