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Finding the Fourth Proportional to 253,100.40, 379,708.20 and 147,865.20

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Solution

The fourth proportional to 253,100.40, 379,708.20 and 147,865.20 is: 221,831.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,100.40 : 379,708.20 = 147,865.20 : x
  2. Step 2: Convert to fraction form
    253,100.40/379,708.20 = 147,865.20/x
  3. Step 3: Cross multiply
    253,100.40x = 379,708.20 × 147,865.20
  4. Step 4: Simplify right side
    253,100.40x = 56,145,628,934.64
  5. Step 5: Solve for x
    x = 56,145,628,934.64/253,100.40
  6. Step 6: Final answer
    x = 221,831.45

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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.