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Finding the Fourth Proportional to 202,857.84, 302,800.50 and 178,916.76

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Solution

The fourth proportional to 202,857.84, 302,800.50 and 178,916.76 is: 267,064.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,857.84 : 302,800.50 = 178,916.76 : x
  2. Step 2: Convert to fraction form
    202,857.84/302,800.50 = 178,916.76/x
  3. Step 3: Cross multiply
    202,857.84x = 302,800.50 × 178,916.76
  4. Step 4: Simplify right side
    202,857.84x = 54,176,084,386.38
  5. Step 5: Solve for x
    x = 54,176,084,386.38/202,857.84
  6. Step 6: Final answer
    x = 267,064.29

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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.