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Finding the Fourth Proportional to 235,489.40, 325,831.14 and 205,337.60

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Solution

The fourth proportional to 235,489.40, 325,831.14 and 205,337.60 is: 284,112.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,489.40 : 325,831.14 = 205,337.60 : x
  2. Step 2: Convert to fraction form
    235,489.40/325,831.14 = 205,337.60/x
  3. Step 3: Cross multiply
    235,489.40x = 325,831.14 × 205,337.60
  4. Step 4: Simplify right side
    235,489.40x = 66,905,384,292.86
  5. Step 5: Solve for x
    x = 66,905,384,292.86/235,489.40
  6. Step 6: Final answer
    x = 284,112.08

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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.