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Finding the Fourth Proportional to 341,142.57, 511,831.80 and 116,660.97

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Solution

The fourth proportional to 341,142.57, 511,831.80 and 116,660.97 is: 175,031.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,142.57 : 511,831.80 = 116,660.97 : x
  2. Step 2: Convert to fraction form
    341,142.57/511,831.80 = 116,660.97/x
  3. Step 3: Cross multiply
    341,142.57x = 511,831.80 × 116,660.97
  4. Step 4: Simplify right side
    341,142.57x = 59,710,794,264.85
  5. Step 5: Solve for x
    x = 59,710,794,264.85/341,142.57
  6. Step 6: Final answer
    x = 175,031.79

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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.