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Finding the Fourth Proportional to 214,797.92, 296,361.60 and 134,307.68

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Solution

The fourth proportional to 214,797.92, 296,361.60 and 134,307.68 is: 185,307.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,797.92 : 296,361.60 = 134,307.68 : x
  2. Step 2: Convert to fraction form
    214,797.92/296,361.60 = 134,307.68/x
  3. Step 3: Cross multiply
    214,797.92x = 296,361.60 × 134,307.68
  4. Step 4: Simplify right side
    214,797.92x = 39,803,638,937.09
  5. Step 5: Solve for x
    x = 39,803,638,937.09/214,797.92
  6. Step 6: Final answer
    x = 185,307.38

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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.