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Finding the Fourth Proportional to 158,352, 237,540.96 and 47,544

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Solution

The fourth proportional to 158,352, 237,540.96 and 47,544 is: 71,319.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,352 : 237,540.96 = 47,544 : x
  2. Step 2: Convert to fraction form
    158,352/237,540.96 = 47,544/x
  3. Step 3: Cross multiply
    158,352x = 237,540.96 × 47,544
  4. Step 4: Simplify right side
    158,352x = 11,293,647,402.24
  5. Step 5: Solve for x
    x = 11,293,647,402.24/158,352
  6. Step 6: Final answer
    x = 71,319.89

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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.