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Finding the Fourth Proportional to 214,889.68, 296,549.52 and 134,363.88

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Solution

The fourth proportional to 214,889.68, 296,549.52 and 134,363.88 is: 185,423.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,889.68 : 296,549.52 = 134,363.88 : x
  2. Step 2: Convert to fraction form
    214,889.68/296,549.52 = 134,363.88/x
  3. Step 3: Cross multiply
    214,889.68x = 296,549.52 × 134,363.88
  4. Step 4: Simplify right side
    214,889.68x = 39,845,544,119.34
  5. Step 5: Solve for x
    x = 39,845,544,119.34/214,889.68
  6. Step 6: Final answer
    x = 185,423.26

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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.