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Finding the Fourth Proportional to 364,041.09, 546,024.72 and 97,767

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Solution

The fourth proportional to 364,041.09, 546,024.72 and 97,767 is: 146,640.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,041.09 : 546,024.72 = 97,767 : x
  2. Step 2: Convert to fraction form
    364,041.09/546,024.72 = 97,767/x
  3. Step 3: Cross multiply
    364,041.09x = 546,024.72 × 97,767
  4. Step 4: Simplify right side
    364,041.09x = 53,383,198,800.24
  5. Step 5: Solve for x
    x = 53,383,198,800.24/364,041.09
  6. Step 6: Final answer
    x = 146,640.59

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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.