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Finding the Fourth Proportional to 216,293.46, 296,317.13 and 208,207.23

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Solution

The fourth proportional to 216,293.46, 296,317.13 and 208,207.23 is: 285,239.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,293.46 : 296,317.13 = 208,207.23 : x
  2. Step 2: Convert to fraction form
    216,293.46/296,317.13 = 208,207.23/x
  3. Step 3: Cross multiply
    216,293.46x = 296,317.13 × 208,207.23
  4. Step 4: Simplify right side
    216,293.46x = 61,695,367,797.81
  5. Step 5: Solve for x
    x = 61,695,367,797.81/216,293.46
  6. Step 6: Final answer
    x = 285,239.17

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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.