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Finding the Fourth Proportional to 202,858.84, 302,801.99 and 178,917.76

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Solution

The fourth proportional to 202,858.84, 302,801.99 and 178,917.76 is: 267,065.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,858.84 : 302,801.99 = 178,917.76 : x
  2. Step 2: Convert to fraction form
    202,858.84/302,801.99 = 178,917.76/x
  3. Step 3: Cross multiply
    202,858.84x = 302,801.99 × 178,917.76
  4. Step 4: Simplify right side
    202,858.84x = 54,176,653,774.34
  5. Step 5: Solve for x
    x = 54,176,653,774.34/202,858.84
  6. Step 6: Final answer
    x = 267,065.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.