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Finding the Fourth Proportional to 158,648.12, 237,972.98 and 53,468

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Solution

The fourth proportional to 158,648.12, 237,972.98 and 53,468 is: 80,202.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,648.12 : 237,972.98 = 53,468 : x
  2. Step 2: Convert to fraction form
    158,648.12/237,972.98 = 53,468/x
  3. Step 3: Cross multiply
    158,648.12x = 237,972.98 × 53,468
  4. Step 4: Simplify right side
    158,648.12x = 12,723,939,294.64
  5. Step 5: Solve for x
    x = 12,723,939,294.64/158,648.12
  6. Step 6: Final answer
    x = 80,202.27

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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.