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Finding the Fourth Proportional to 158,284.96, 237,425.52 and 47,476

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Solution

The fourth proportional to 158,284.96, 237,425.52 and 47,476 is: 71,213.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,284.96 : 237,425.52 = 47,476 : x
  2. Step 2: Convert to fraction form
    158,284.96/237,425.52 = 47,476/x
  3. Step 3: Cross multiply
    158,284.96x = 237,425.52 × 47,476
  4. Step 4: Simplify right side
    158,284.96x = 11,272,013,987.52
  5. Step 5: Solve for x
    x = 11,272,013,987.52/158,284.96
  6. Step 6: Final answer
    x = 71,213.42

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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.