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Finding the Fourth Proportional to 216,302.48, 296,329.44 and 208,216.24

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Solution

The fourth proportional to 216,302.48, 296,329.44 and 208,216.24 is: 285,251.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,302.48 : 296,329.44 = 208,216.24 : x
  2. Step 2: Convert to fraction form
    216,302.48/296,329.44 = 208,216.24/x
  3. Step 3: Cross multiply
    216,302.48x = 296,329.44 × 208,216.24
  4. Step 4: Simplify right side
    216,302.48x = 61,700,601,798.11
  5. Step 5: Solve for x
    x = 61,700,601,798.11/216,302.48
  6. Step 6: Final answer
    x = 285,251.48

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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.