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Finding the Fourth Proportional to 177,344.40, 265,675.32 and 110,810.64

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Solution

The fourth proportional to 177,344.40, 265,675.32 and 110,810.64 is: 166,002.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,344.40 : 265,675.32 = 110,810.64 : x
  2. Step 2: Convert to fraction form
    177,344.40/265,675.32 = 110,810.64/x
  3. Step 3: Cross multiply
    177,344.40x = 265,675.32 × 110,810.64
  4. Step 4: Simplify right side
    177,344.40x = 29,439,652,241.40
  5. Step 5: Solve for x
    x = 29,439,652,241.40/177,344.40
  6. Step 6: Final answer
    x = 166,002.72

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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.