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Finding the Fourth Proportional to 210,472.92, 315,756.36 and 110,680.20

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Solution

The fourth proportional to 210,472.92, 315,756.36 and 110,680.20 is: 166,045.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,472.92 : 315,756.36 = 110,680.20 : x
  2. Step 2: Convert to fraction form
    210,472.92/315,756.36 = 110,680.20/x
  3. Step 3: Cross multiply
    210,472.92x = 315,756.36 × 110,680.20
  4. Step 4: Simplify right side
    210,472.92x = 34,947,977,076.07
  5. Step 5: Solve for x
    x = 34,947,977,076.07/210,472.92
  6. Step 6: Final answer
    x = 166,045.01

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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.