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Finding the Fourth Proportional to 200,888.84, 299,558.38 and 199,085.78

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Solution

The fourth proportional to 200,888.84, 299,558.38 and 199,085.78 is: 296,869.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,888.84 : 299,558.38 = 199,085.78 : x
  2. Step 2: Convert to fraction form
    200,888.84/299,558.38 = 199,085.78/x
  3. Step 3: Cross multiply
    200,888.84x = 299,558.38 × 199,085.78
  4. Step 4: Simplify right side
    200,888.84x = 59,637,813,737.84
  5. Step 5: Solve for x
    x = 59,637,813,737.84/200,888.84
  6. Step 6: Final answer
    x = 296,869.72

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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.