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Finding the Fourth Proportional to 252,847.20, 379,708.20 and 164,492.40

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Solution

The fourth proportional to 252,847.20, 379,708.20 and 164,492.40 is: 247,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,847.20 : 379,708.20 = 164,492.40 : x
  2. Step 2: Convert to fraction form
    252,847.20/379,708.20 = 164,492.40/x
  3. Step 3: Cross multiply
    252,847.20x = 379,708.20 × 164,492.40
  4. Step 4: Simplify right side
    252,847.20x = 62,459,113,117.68
  5. Step 5: Solve for x
    x = 62,459,113,117.68/252,847.20
  6. Step 6: Final answer
    x = 247,023.16

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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.