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Finding the Fourth Proportional to 272,698.68, 409,069.89 and 95,201.76

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Solution

The fourth proportional to 272,698.68, 409,069.89 and 95,201.76 is: 142,810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,698.68 : 409,069.89 = 95,201.76 : x
  2. Step 2: Convert to fraction form
    272,698.68/409,069.89 = 95,201.76/x
  3. Step 3: Cross multiply
    272,698.68x = 409,069.89 × 95,201.76
  4. Step 4: Simplify right side
    272,698.68x = 38,944,173,491.01
  5. Step 5: Solve for x
    x = 38,944,173,491.01/272,698.68
  6. Step 6: Final answer
    x = 142,810.28

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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.