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Finding the Fourth Proportional to 224,376.48, 309,659.76 and 156,492

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Solution

The fourth proportional to 224,376.48, 309,659.76 and 156,492 is: 215,973.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,376.48 : 309,659.76 = 156,492 : x
  2. Step 2: Convert to fraction form
    224,376.48/309,659.76 = 156,492/x
  3. Step 3: Cross multiply
    224,376.48x = 309,659.76 × 156,492
  4. Step 4: Simplify right side
    224,376.48x = 48,459,275,161.92
  5. Step 5: Solve for x
    x = 48,459,275,161.92/224,376.48
  6. Step 6: Final answer
    x = 215,973.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.