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Finding the Fourth Proportional to 188,980.94, 260,794.40 and 104,097.80

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Solution

The fourth proportional to 188,980.94, 260,794.40 and 104,097.80 is: 143,655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,980.94 : 260,794.40 = 104,097.80 : x
  2. Step 2: Convert to fraction form
    188,980.94/260,794.40 = 104,097.80/x
  3. Step 3: Cross multiply
    188,980.94x = 260,794.40 × 104,097.80
  4. Step 4: Simplify right side
    188,980.94x = 27,148,121,467.86
  5. Step 5: Solve for x
    x = 27,148,121,467.86/188,980.94
  6. Step 6: Final answer
    x = 143,655.35

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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.