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Finding the Fourth Proportional to 133,694.90, 184,582.85 and 86,031.08

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Solution

The fourth proportional to 133,694.90, 184,582.85 and 86,031.08 is: 118,776.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,694.90 : 184,582.85 = 86,031.08 : x
  2. Step 2: Convert to fraction form
    133,694.90/184,582.85 = 86,031.08/x
  3. Step 3: Cross multiply
    133,694.90x = 184,582.85 × 86,031.08
  4. Step 4: Simplify right side
    133,694.90x = 15,879,861,934.98
  5. Step 5: Solve for x
    x = 15,879,861,934.98/133,694.90
  6. Step 6: Final answer
    x = 118,776.87

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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.