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Finding the Fourth Proportional to 118,120.34, 177,263.52 and 106,827.20

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Solution

The fourth proportional to 118,120.34, 177,263.52 and 106,827.20 is: 160,315.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,120.34 : 177,263.52 = 106,827.20 : x
  2. Step 2: Convert to fraction form
    118,120.34/177,263.52 = 106,827.20/x
  3. Step 3: Cross multiply
    118,120.34x = 177,263.52 × 106,827.20
  4. Step 4: Simplify right side
    118,120.34x = 18,936,565,503.74
  5. Step 5: Solve for x
    x = 18,936,565,503.74/118,120.34
  6. Step 6: Final answer
    x = 160,315.87

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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.