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Finding the Fourth Proportional to 177,408.60, 265,724.10 and 154,080.60

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Solution

The fourth proportional to 177,408.60, 265,724.10 and 154,080.60 is: 230,783.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,408.60 : 265,724.10 = 154,080.60 : x
  2. Step 2: Convert to fraction form
    177,408.60/265,724.10 = 154,080.60/x
  3. Step 3: Cross multiply
    177,408.60x = 265,724.10 × 154,080.60
  4. Step 4: Simplify right side
    177,408.60x = 40,942,928,762.46
  5. Step 5: Solve for x
    x = 40,942,928,762.46/177,408.60
  6. Step 6: Final answer
    x = 230,783.22

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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.