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Finding the Fourth Proportional to 208,732.68, 310,588.29 and 208,032.84

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Solution

The fourth proportional to 208,732.68, 310,588.29 and 208,032.84 is: 309,546.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,732.68 : 310,588.29 = 208,032.84 : x
  2. Step 2: Convert to fraction form
    208,732.68/310,588.29 = 208,032.84/x
  3. Step 3: Cross multiply
    208,732.68x = 310,588.29 × 208,032.84
  4. Step 4: Simplify right side
    208,732.68x = 64,612,564,039.44
  5. Step 5: Solve for x
    x = 64,612,564,039.44/208,732.68
  6. Step 6: Final answer
    x = 309,546.95

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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.