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Finding the Fourth Proportional to 212,814.81, 293,686.39 and 117,324.92

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Solution

The fourth proportional to 212,814.81, 293,686.39 and 117,324.92 is: 161,909.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,814.81 : 293,686.39 = 117,324.92 : x
  2. Step 2: Convert to fraction form
    212,814.81/293,686.39 = 117,324.92/x
  3. Step 3: Cross multiply
    212,814.81x = 293,686.39 × 117,324.92
  4. Step 4: Simplify right side
    212,814.81x = 34,456,733,092.71
  5. Step 5: Solve for x
    x = 34,456,733,092.71/212,814.81
  6. Step 6: Final answer
    x = 161,909.47

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