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Finding the Fourth Proportional to 114,238.81, 157,654.48 and 63,251.54

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Solution

The fourth proportional to 114,238.81, 157,654.48 and 63,251.54 is: 87,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,238.81 : 157,654.48 = 63,251.54 : x
  2. Step 2: Convert to fraction form
    114,238.81/157,654.48 = 63,251.54/x
  3. Step 3: Cross multiply
    114,238.81x = 157,654.48 × 63,251.54
  4. Step 4: Simplify right side
    114,238.81x = 9,971,887,701.50
  5. Step 5: Solve for x
    x = 9,971,887,701.50/114,238.81
  6. Step 6: Final answer
    x = 87,289.84

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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.