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Finding the Fourth Proportional to 136,333.29, 204,527.58 and 57,447.48

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Solution

The fourth proportional to 136,333.29, 204,527.58 and 57,447.48 is: 86,182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,333.29 : 204,527.58 = 57,447.48 : x
  2. Step 2: Convert to fraction form
    136,333.29/204,527.58 = 57,447.48/x
  3. Step 3: Cross multiply
    136,333.29x = 204,527.58 × 57,447.48
  4. Step 4: Simplify right side
    136,333.29x = 11,749,594,061.50
  5. Step 5: Solve for x
    x = 11,749,594,061.50/136,333.29
  6. Step 6: Final answer
    x = 86,182.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.