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Finding the Fourth Proportional to 295,888.09, 408,305.05 and 166,831.15

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Solution

The fourth proportional to 295,888.09, 408,305.05 and 166,831.15 is: 230,215.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,888.09 : 408,305.05 = 166,831.15 : x
  2. Step 2: Convert to fraction form
    295,888.09/408,305.05 = 166,831.15/x
  3. Step 3: Cross multiply
    295,888.09x = 408,305.05 × 166,831.15
  4. Step 4: Simplify right side
    295,888.09x = 68,118,001,042.31
  5. Step 5: Solve for x
    x = 68,118,001,042.31/295,888.09
  6. Step 6: Final answer
    x = 230,215.42

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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.