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Finding the Fourth Proportional to 188,478.78, 260,097.36 and 103,595.82

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Solution

The fourth proportional to 188,478.78, 260,097.36 and 103,595.82 is: 142,960.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,478.78 : 260,097.36 = 103,595.82 : x
  2. Step 2: Convert to fraction form
    188,478.78/260,097.36 = 103,595.82/x
  3. Step 3: Cross multiply
    188,478.78x = 260,097.36 × 103,595.82
  4. Step 4: Simplify right side
    188,478.78x = 26,944,999,289.04
  5. Step 5: Solve for x
    x = 26,944,999,289.04/188,478.78
  6. Step 6: Final answer
    x = 142,960.39

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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.