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Finding the Fourth Proportional to 118,981.44, 164,199.52 and 71,225.52

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Solution

The fourth proportional to 118,981.44, 164,199.52 and 71,225.52 is: 98,294.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,981.44 : 164,199.52 = 71,225.52 : x
  2. Step 2: Convert to fraction form
    118,981.44/164,199.52 = 71,225.52/x
  3. Step 3: Cross multiply
    118,981.44x = 164,199.52 × 71,225.52
  4. Step 4: Simplify right side
    118,981.44x = 11,695,196,195.75
  5. Step 5: Solve for x
    x = 11,695,196,195.75/118,981.44
  6. Step 6: Final answer
    x = 98,294.29

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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.