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Finding the Fourth Proportional to 233,641.26, 322,532.60 and 136,831.66

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Solution

The fourth proportional to 233,641.26, 322,532.60 and 136,831.66 is: 188,890.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,641.26 : 322,532.60 = 136,831.66 : x
  2. Step 2: Convert to fraction form
    233,641.26/322,532.60 = 136,831.66/x
  3. Step 3: Cross multiply
    233,641.26x = 322,532.60 × 136,831.66
  4. Step 4: Simplify right side
    233,641.26x = 44,132,669,571.63
  5. Step 5: Solve for x
    x = 44,132,669,571.63/233,641.26
  6. Step 6: Final answer
    x = 188,890.74

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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.