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Finding the Fourth Proportional to 253,138.80, 379,708.20 and 164,492.40

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Solution

The fourth proportional to 253,138.80, 379,708.20 and 164,492.40 is: 246,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,138.80 : 379,708.20 = 164,492.40 : x
  2. Step 2: Convert to fraction form
    253,138.80/379,708.20 = 164,492.40/x
  3. Step 3: Cross multiply
    253,138.80x = 379,708.20 × 164,492.40
  4. Step 4: Simplify right side
    253,138.80x = 62,459,113,117.68
  5. Step 5: Solve for x
    x = 62,459,113,117.68/253,138.80
  6. Step 6: Final answer
    x = 246,738.60

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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.