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Finding the Fourth Proportional to 158,031.84, 237,021.16 and 52,850.64

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Solution

The fourth proportional to 158,031.84, 237,021.16 and 52,850.64 is: 79,267.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,031.84 : 237,021.16 = 52,850.64 : x
  2. Step 2: Convert to fraction form
    158,031.84/237,021.16 = 52,850.64/x
  3. Step 3: Cross multiply
    158,031.84x = 237,021.16 × 52,850.64
  4. Step 4: Simplify right side
    158,031.84x = 12,526,719,999.54
  5. Step 5: Solve for x
    x = 12,526,719,999.54/158,031.84
  6. Step 6: Final answer
    x = 79,267.06

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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.