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Finding the Fourth Proportional to 193,164.20, 289,746.30 and 174,501.80

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Solution

The fourth proportional to 193,164.20, 289,746.30 and 174,501.80 is: 261,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,164.20 : 289,746.30 = 174,501.80 : x
  2. Step 2: Convert to fraction form
    193,164.20/289,746.30 = 174,501.80/x
  3. Step 3: Cross multiply
    193,164.20x = 289,746.30 × 174,501.80
  4. Step 4: Simplify right side
    193,164.20x = 50,561,250,893.34
  5. Step 5: Solve for x
    x = 50,561,250,893.34/193,164.20
  6. Step 6: Final answer
    x = 261,752.70

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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.