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Finding the Fourth Proportional to 174,204.60, 260,918.10 and 134,633.40

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Solution

The fourth proportional to 174,204.60, 260,918.10 and 134,633.40 is: 201,649.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,204.60 : 260,918.10 = 134,633.40 : x
  2. Step 2: Convert to fraction form
    174,204.60/260,918.10 = 134,633.40/x
  3. Step 3: Cross multiply
    174,204.60x = 260,918.10 × 134,633.40
  4. Step 4: Simplify right side
    174,204.60x = 35,128,290,924.54
  5. Step 5: Solve for x
    x = 35,128,290,924.54/174,204.60
  6. Step 6: Final answer
    x = 201,649.62

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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.