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Finding the Fourth Proportional to 195,518.08, 269,814 and 106,094.08

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Solution

The fourth proportional to 195,518.08, 269,814 and 106,094.08 is: 146,409.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,518.08 : 269,814 = 106,094.08 : x
  2. Step 2: Convert to fraction form
    195,518.08/269,814 = 106,094.08/x
  3. Step 3: Cross multiply
    195,518.08x = 269,814 × 106,094.08
  4. Step 4: Simplify right side
    195,518.08x = 28,625,668,101.12
  5. Step 5: Solve for x
    x = 28,625,668,101.12/195,518.08
  6. Step 6: Final answer
    x = 146,409.31

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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.