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Finding the Fourth Proportional to 216,282.81, 296,302.47 and 208,196.58

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Solution

The fourth proportional to 216,282.81, 296,302.47 and 208,196.58 is: 285,224.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,282.81 : 296,302.47 = 208,196.58 : x
  2. Step 2: Convert to fraction form
    216,282.81/296,302.47 = 208,196.58/x
  3. Step 3: Cross multiply
    216,282.81x = 296,302.47 × 208,196.58
  4. Step 4: Simplify right side
    216,282.81x = 61,689,160,899.55
  5. Step 5: Solve for x
    x = 61,689,160,899.55/216,282.81
  6. Step 6: Final answer
    x = 285,224.52

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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.