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Finding the Fourth Proportional to 202,637.84, 302,472.93 and 178,696.78

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Solution

The fourth proportional to 202,637.84, 302,472.93 and 178,696.78 is: 266,736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,637.84 : 302,472.93 = 178,696.78 : x
  2. Step 2: Convert to fraction form
    202,637.84/302,472.93 = 178,696.78/x
  3. Step 3: Cross multiply
    202,637.84x = 302,472.93 × 178,696.78
  4. Step 4: Simplify right side
    202,637.84x = 54,050,940,243.51
  5. Step 5: Solve for x
    x = 54,050,940,243.51/202,637.84
  6. Step 6: Final answer
    x = 266,736.66

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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.