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Finding the Fourth Proportional to 214,894.84, 322,341.89 and 57,123.30

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Solution

The fourth proportional to 214,894.84, 322,341.89 and 57,123.30 is: 85,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,894.84 : 322,341.89 = 57,123.30 : x
  2. Step 2: Convert to fraction form
    214,894.84/322,341.89 = 57,123.30/x
  3. Step 3: Cross multiply
    214,894.84x = 322,341.89 × 57,123.30
  4. Step 4: Simplify right side
    214,894.84x = 18,413,232,485.04
  5. Step 5: Solve for x
    x = 18,413,232,485.04/214,894.84
  6. Step 6: Final answer
    x = 85,684.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.