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Finding the Fourth Proportional to 176,867.66, 265,124.18 and 82,164.42

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Solution

The fourth proportional to 176,867.66, 265,124.18 and 82,164.42 is: 123,164.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,867.66 : 265,124.18 = 82,164.42 : x
  2. Step 2: Convert to fraction form
    176,867.66/265,124.18 = 82,164.42/x
  3. Step 3: Cross multiply
    176,867.66x = 265,124.18 × 82,164.42
  4. Step 4: Simplify right side
    176,867.66x = 21,783,774,477.68
  5. Step 5: Solve for x
    x = 21,783,774,477.68/176,867.66
  6. Step 6: Final answer
    x = 123,164.26

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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.