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Finding the Fourth Proportional to 114,164.82, 157,541.87 and 63,176.64

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Solution

The fourth proportional to 114,164.82, 157,541.87 and 63,176.64 is: 87,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,164.82 : 157,541.87 = 63,176.64 : x
  2. Step 2: Convert to fraction form
    114,164.82/157,541.87 = 63,176.64/x
  3. Step 3: Cross multiply
    114,164.82x = 157,541.87 × 63,176.64
  4. Step 4: Simplify right side
    114,164.82x = 9,952,965,690.03
  5. Step 5: Solve for x
    x = 9,952,965,690.03/114,164.82
  6. Step 6: Final answer
    x = 87,180.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.