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Finding the Fourth Proportional to 176,013.44, 264,031.68 and 51,344

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Solution

The fourth proportional to 176,013.44, 264,031.68 and 51,344 is: 77,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,013.44 : 264,031.68 = 51,344 : x
  2. Step 2: Convert to fraction form
    176,013.44/264,031.68 = 51,344/x
  3. Step 3: Cross multiply
    176,013.44x = 264,031.68 × 51,344
  4. Step 4: Simplify right side
    176,013.44x = 13,556,442,577.92
  5. Step 5: Solve for x
    x = 13,556,442,577.92/176,013.44
  6. Step 6: Final answer
    x = 77,019.36

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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.