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Finding the Fourth Proportional to 218,719.64, 299,864.61 and 214,733.84

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Solution

The fourth proportional to 218,719.64, 299,864.61 and 214,733.84 is: 294,400.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,719.64 : 299,864.61 = 214,733.84 : x
  2. Step 2: Convert to fraction form
    218,719.64/299,864.61 = 214,733.84/x
  3. Step 3: Cross multiply
    218,719.64x = 299,864.61 × 214,733.84
  4. Step 4: Simplify right side
    218,719.64x = 64,391,078,111.73
  5. Step 5: Solve for x
    x = 64,391,078,111.73/218,719.64
  6. Step 6: Final answer
    x = 294,400.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.