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Finding the Fourth Proportional to 158,609.30, 237,946.35 and 53,438.90

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Solution

The fourth proportional to 158,609.30, 237,946.35 and 53,438.90 is: 80,169.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,609.30 : 237,946.35 = 53,438.90 : x
  2. Step 2: Convert to fraction form
    158,609.30/237,946.35 = 53,438.90/x
  3. Step 3: Cross multiply
    158,609.30x = 237,946.35 × 53,438.90
  4. Step 4: Simplify right side
    158,609.30x = 12,715,591,203.02
  5. Step 5: Solve for x
    x = 12,715,591,203.02/158,609.30
  6. Step 6: Final answer
    x = 80,169.27

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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.