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Finding the Fourth Proportional to 191,632.56, 264,435.78 and 106,747.80

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Solution

The fourth proportional to 191,632.56, 264,435.78 and 106,747.80 is: 147,302.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,632.56 : 264,435.78 = 106,747.80 : x
  2. Step 2: Convert to fraction form
    191,632.56/264,435.78 = 106,747.80/x
  3. Step 3: Cross multiply
    191,632.56x = 264,435.78 × 106,747.80
  4. Step 4: Simplify right side
    191,632.56x = 28,227,937,756.28
  5. Step 5: Solve for x
    x = 28,227,937,756.28/191,632.56
  6. Step 6: Final answer
    x = 147,302.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.