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Finding the Fourth Proportional to 118,894.60, 164,070.19 and 65,178.44

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Solution

The fourth proportional to 118,894.60, 164,070.19 and 65,178.44 is: 89,943.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,894.60 : 164,070.19 = 65,178.44 : x
  2. Step 2: Convert to fraction form
    118,894.60/164,070.19 = 65,178.44/x
  3. Step 3: Cross multiply
    118,894.60x = 164,070.19 × 65,178.44
  4. Step 4: Simplify right side
    118,894.60x = 10,693,838,911.09
  5. Step 5: Solve for x
    x = 10,693,838,911.09/118,894.60
  6. Step 6: Final answer
    x = 89,943.86

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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.