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Finding the Fourth Proportional to 188,714.46, 260,383.14 and 137,754.96

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Solution

The fourth proportional to 188,714.46, 260,383.14 and 137,754.96 is: 190,070.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,714.46 : 260,383.14 = 137,754.96 : x
  2. Step 2: Convert to fraction form
    188,714.46/260,383.14 = 137,754.96/x
  3. Step 3: Cross multiply
    188,714.46x = 260,383.14 × 137,754.96
  4. Step 4: Simplify right side
    188,714.46x = 35,869,069,035.37
  5. Step 5: Solve for x
    x = 35,869,069,035.37/188,714.46
  6. Step 6: Final answer
    x = 190,070.59

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1.5x scale

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.