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Finding the Fourth Proportional to 233,994.26, 322,831.95 and 190,898.66

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Solution

The fourth proportional to 233,994.26, 322,831.95 and 190,898.66 is: 263,374.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,994.26 : 322,831.95 = 190,898.66 : x
  2. Step 2: Convert to fraction form
    233,994.26/322,831.95 = 190,898.66/x
  3. Step 3: Cross multiply
    233,994.26x = 322,831.95 × 190,898.66
  4. Step 4: Simplify right side
    233,994.26x = 61,628,186,660.19
  5. Step 5: Solve for x
    x = 61,628,186,660.19/233,994.26
  6. Step 6: Final answer
    x = 263,374.78

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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.