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Finding the Fourth Proportional to 185,597.14, 256,124.75 and 100,714.21

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Solution

The fourth proportional to 185,597.14, 256,124.75 and 100,714.21 is: 138,985.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,597.14 : 256,124.75 = 100,714.21 : x
  2. Step 2: Convert to fraction form
    185,597.14/256,124.75 = 100,714.21/x
  3. Step 3: Cross multiply
    185,597.14x = 256,124.75 × 100,714.21
  4. Step 4: Simplify right side
    185,597.14x = 25,795,401,857.70
  5. Step 5: Solve for x
    x = 25,795,401,857.70/185,597.14
  6. Step 6: Final answer
    x = 138,985.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.