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Finding the Fourth Proportional to 174,014.40, 261,021.60 and 153,278.40

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Solution

The fourth proportional to 174,014.40, 261,021.60 and 153,278.40 is: 229,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,014.40 : 261,021.60 = 153,278.40 : x
  2. Step 2: Convert to fraction form
    174,014.40/261,021.60 = 153,278.40/x
  3. Step 3: Cross multiply
    174,014.40x = 261,021.60 × 153,278.40
  4. Step 4: Simplify right side
    174,014.40x = 40,008,973,213.44
  5. Step 5: Solve for x
    x = 40,008,973,213.44/174,014.40
  6. Step 6: Final answer
    x = 229,917.60

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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.