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Finding the Fourth Proportional to 114,143.85, 157,523.16 and 63,155.77

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Solution

The fourth proportional to 114,143.85, 157,523.16 and 63,155.77 is: 87,157.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,143.85 : 157,523.16 = 63,155.77 : x
  2. Step 2: Convert to fraction form
    114,143.85/157,523.16 = 63,155.77/x
  3. Step 3: Cross multiply
    114,143.85x = 157,523.16 × 63,155.77
  4. Step 4: Simplify right side
    114,143.85x = 9,948,496,305.66
  5. Step 5: Solve for x
    x = 9,948,496,305.66/114,143.85
  6. Step 6: Final answer
    x = 87,157.53

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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.