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Finding the Fourth Proportional to 341,095.14, 470,714.94 and 188,139.96

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Solution

The fourth proportional to 341,095.14, 470,714.94 and 188,139.96 is: 259,635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,095.14 : 470,714.94 = 188,139.96 : x
  2. Step 2: Convert to fraction form
    341,095.14/470,714.94 = 188,139.96/x
  3. Step 3: Cross multiply
    341,095.14x = 470,714.94 × 188,139.96
  4. Step 4: Simplify right side
    341,095.14x = 88,560,289,983.00
  5. Step 5: Solve for x
    x = 88,560,289,983.00/341,095.14
  6. Step 6: Final answer
    x = 259,635.16

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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.