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Finding the Fourth Proportional to 177,134.52, 265,474.95 and 97,171.32

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Solution

The fourth proportional to 177,134.52, 265,474.95 and 97,171.32 is: 145,632.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,134.52 : 265,474.95 = 97,171.32 : x
  2. Step 2: Convert to fraction form
    177,134.52/265,474.95 = 97,171.32/x
  3. Step 3: Cross multiply
    177,134.52x = 265,474.95 × 97,171.32
  4. Step 4: Simplify right side
    177,134.52x = 25,796,551,318.43
  5. Step 5: Solve for x
    x = 25,796,551,318.43/177,134.52
  6. Step 6: Final answer
    x = 145,632.55

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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.