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Finding the Fourth Proportional to 214,729.52, 296,195.33 and 154,381.68

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Solution

The fourth proportional to 214,729.52, 296,195.33 and 154,381.68 is: 212,952.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,729.52 : 296,195.33 = 154,381.68 : x
  2. Step 2: Convert to fraction form
    214,729.52/296,195.33 = 154,381.68/x
  3. Step 3: Cross multiply
    214,729.52x = 296,195.33 × 154,381.68
  4. Step 4: Simplify right side
    214,729.52x = 45,727,133,039.51
  5. Step 5: Solve for x
    x = 45,727,133,039.51/214,729.52
  6. Step 6: Final answer
    x = 212,952.25

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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.