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Finding the Fourth Proportional to 114,165.20, 157,541.64 and 63,854.48

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Solution

The fourth proportional to 114,165.20, 157,541.64 and 63,854.48 is: 88,115.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,165.20 : 157,541.64 = 63,854.48 : x
  2. Step 2: Convert to fraction form
    114,165.20/157,541.64 = 63,854.48/x
  3. Step 3: Cross multiply
    114,165.20x = 157,541.64 × 63,854.48
  4. Step 4: Simplify right side
    114,165.20x = 10,059,739,500.55
  5. Step 5: Solve for x
    x = 10,059,739,500.55/114,165.20
  6. Step 6: Final answer
    x = 88,115.64

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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.