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Finding the Fourth Proportional to 118,982.25, 178,473.51 and 35,876.25

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Solution

The fourth proportional to 118,982.25, 178,473.51 and 35,876.25 is: 53,814.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,982.25 : 178,473.51 = 35,876.25 : x
  2. Step 2: Convert to fraction form
    118,982.25/178,473.51 = 35,876.25/x
  3. Step 3: Cross multiply
    118,982.25x = 178,473.51 × 35,876.25
  4. Step 4: Simplify right side
    118,982.25x = 6,402,960,263.14
  5. Step 5: Solve for x
    x = 6,402,960,263.14/118,982.25
  6. Step 6: Final answer
    x = 53,814.42

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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.