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Finding the Fourth Proportional to 118,109.64, 176,967.21 and 82,986.42

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Solution

The fourth proportional to 118,109.64, 176,967.21 and 82,986.42 is: 124,341.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,109.64 : 176,967.21 = 82,986.42 : x
  2. Step 2: Convert to fraction form
    118,109.64/176,967.21 = 82,986.42/x
  3. Step 3: Cross multiply
    118,109.64x = 176,967.21 × 82,986.42
  4. Step 4: Simplify right side
    118,109.64x = 14,685,875,215.29
  5. Step 5: Solve for x
    x = 14,685,875,215.29/118,109.64
  6. Step 6: Final answer
    x = 124,341.04

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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.