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Finding the Fourth Proportional to 212,814.84, 293,686.38 and 117,324.90

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Solution

The fourth proportional to 212,814.84, 293,686.38 and 117,324.90 is: 161,909.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,814.84 : 293,686.38 = 117,324.90 : x
  2. Step 2: Convert to fraction form
    212,814.84/293,686.38 = 117,324.90/x
  3. Step 3: Cross multiply
    212,814.84x = 293,686.38 × 117,324.90
  4. Step 4: Simplify right side
    212,814.84x = 34,456,725,164.86
  5. Step 5: Solve for x
    x = 34,456,725,164.86/212,814.84
  6. Step 6: Final answer
    x = 161,909.41

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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.