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Finding the Fourth Proportional to 176,734.40, 265,004.40 and 76,877.60

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Solution

The fourth proportional to 176,734.40, 265,004.40 and 76,877.60 is: 115,274.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,734.40 : 265,004.40 = 76,877.60 : x
  2. Step 2: Convert to fraction form
    176,734.40/265,004.40 = 76,877.60/x
  3. Step 3: Cross multiply
    176,734.40x = 265,004.40 × 76,877.60
  4. Step 4: Simplify right side
    176,734.40x = 20,372,902,261.44
  5. Step 5: Solve for x
    x = 20,372,902,261.44/176,734.40
  6. Step 6: Final answer
    x = 115,274.12

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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.