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Finding the Fourth Proportional to 125,714.64, 188,654 and 46,891.92

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Solution

The fourth proportional to 125,714.64, 188,654 and 46,891.92 is: 70,368.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,714.64 : 188,654 = 46,891.92 : x
  2. Step 2: Convert to fraction form
    125,714.64/188,654 = 46,891.92/x
  3. Step 3: Cross multiply
    125,714.64x = 188,654 × 46,891.92
  4. Step 4: Simplify right side
    125,714.64x = 8,846,348,275.68
  5. Step 5: Solve for x
    x = 8,846,348,275.68/125,714.64
  6. Step 6: Final answer
    x = 70,368.48

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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.