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Finding the Fourth Proportional to 353,193.81, 529,786.35 and 86,956.63

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Solution

The fourth proportional to 353,193.81, 529,786.35 and 86,956.63 is: 130,433.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,193.81 : 529,786.35 = 86,956.63 : x
  2. Step 2: Convert to fraction form
    353,193.81/529,786.35 = 86,956.63/x
  3. Step 3: Cross multiply
    353,193.81x = 529,786.35 × 86,956.63
  4. Step 4: Simplify right side
    353,193.81x = 46,068,435,616.00
  5. Step 5: Solve for x
    x = 46,068,435,616.00/353,193.81
  6. Step 6: Final answer
    x = 130,433.87

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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.