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Finding the Fourth Proportional to 188,495.93, 260,124.21 and 102,454.83

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Solution

The fourth proportional to 188,495.93, 260,124.21 and 102,454.83 is: 141,387.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,495.93 : 260,124.21 = 102,454.83 : x
  2. Step 2: Convert to fraction form
    188,495.93/260,124.21 = 102,454.83/x
  3. Step 3: Cross multiply
    188,495.93x = 260,124.21 × 102,454.83
  4. Step 4: Simplify right side
    188,495.93x = 26,650,981,714.43
  5. Step 5: Solve for x
    x = 26,650,981,714.43/188,495.93
  6. Step 6: Final answer
    x = 141,387.57

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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.