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Finding the Fourth Proportional to 212,001, 318,048.28 and 117,369.24

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Solution

The fourth proportional to 212,001, 318,048.28 and 117,369.24 is: 176,079.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,001 : 318,048.28 = 117,369.24 : x
  2. Step 2: Convert to fraction form
    212,001/318,048.28 = 117,369.24/x
  3. Step 3: Cross multiply
    212,001x = 318,048.28 × 117,369.24
  4. Step 4: Simplify right side
    212,001x = 37,329,084,906.91
  5. Step 5: Solve for x
    x = 37,329,084,906.91/212,001
  6. Step 6: Final answer
    x = 176,079.76

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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.