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Finding the Fourth Proportional to 341,202.68, 511,443.85 and 127,831.22

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Solution

The fourth proportional to 341,202.68, 511,443.85 and 127,831.22 is: 191,611.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,202.68 : 511,443.85 = 127,831.22 : x
  2. Step 2: Convert to fraction form
    341,202.68/511,443.85 = 127,831.22/x
  3. Step 3: Cross multiply
    341,202.68x = 511,443.85 × 127,831.22
  4. Step 4: Simplify right side
    341,202.68x = 65,378,491,307.00
  5. Step 5: Solve for x
    x = 65,378,491,307.00/341,202.68
  6. Step 6: Final answer
    x = 191,611.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.