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Finding the Fourth Proportional to 272,014.90, 408,022.35 and 188,034.10

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Solution

The fourth proportional to 272,014.90, 408,022.35 and 188,034.10 is: 282,051.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,014.90 : 408,022.35 = 188,034.10 : x
  2. Step 2: Convert to fraction form
    272,014.90/408,022.35 = 188,034.10/x
  3. Step 3: Cross multiply
    272,014.90x = 408,022.35 × 188,034.10
  4. Step 4: Simplify right side
    272,014.90x = 76,722,115,362.14
  5. Step 5: Solve for x
    x = 76,722,115,362.14/272,014.90
  6. Step 6: Final answer
    x = 282,051.15

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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.