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Finding the Fourth Proportional to 216,282.80, 296,302.46 and 208,196.57

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Solution

The fourth proportional to 216,282.80, 296,302.46 and 208,196.57 is: 285,224.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,282.80 : 296,302.46 = 208,196.57 : x
  2. Step 2: Convert to fraction form
    216,282.80/296,302.46 = 208,196.57/x
  3. Step 3: Cross multiply
    216,282.80x = 296,302.46 × 208,196.57
  4. Step 4: Simplify right side
    216,282.80x = 61,689,157,115.81
  5. Step 5: Solve for x
    x = 61,689,157,115.81/216,282.80
  6. Step 6: Final answer
    x = 285,224.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.