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Finding the Fourth Proportional to 214,894.46, 296,536.52 and 118,093.23

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Solution

The fourth proportional to 214,894.46, 296,536.52 and 118,093.23 is: 162,958.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,894.46 : 296,536.52 = 118,093.23 : x
  2. Step 2: Convert to fraction form
    214,894.46/296,536.52 = 118,093.23/x
  3. Step 3: Cross multiply
    214,894.46x = 296,536.52 × 118,093.23
  4. Step 4: Simplify right side
    214,894.46x = 35,018,954,869.29
  5. Step 5: Solve for x
    x = 35,018,954,869.29/214,894.46
  6. Step 6: Final answer
    x = 162,958.85

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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.