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Finding the Fourth Proportional to 114,165.82, 157,543.24 and 63,177.64

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Solution

The fourth proportional to 114,165.82, 157,543.24 and 63,177.64 is: 87,182.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,165.82 : 157,543.24 = 63,177.64 : x
  2. Step 2: Convert to fraction form
    114,165.82/157,543.24 = 63,177.64/x
  3. Step 3: Cross multiply
    114,165.82x = 157,543.24 × 63,177.64
  4. Step 4: Simplify right side
    114,165.82x = 9,953,210,101.15
  5. Step 5: Solve for x
    x = 9,953,210,101.15/114,165.82
  6. Step 6: Final answer
    x = 87,182.05

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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.