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Finding the Fourth Proportional to 216,274.67, 296,291.37 and 208,188.47

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Solution

The fourth proportional to 216,274.67, 296,291.37 and 208,188.47 is: 285,213.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,274.67 : 296,291.37 = 208,188.47 : x
  2. Step 2: Convert to fraction form
    216,274.67/296,291.37 = 208,188.47/x
  3. Step 3: Cross multiply
    216,274.67x = 296,291.37 × 208,188.47
  4. Step 4: Simplify right side
    216,274.67x = 61,684,446,994.50
  5. Step 5: Solve for x
    x = 61,684,446,994.50/216,274.67
  6. Step 6: Final answer
    x = 285,213.46

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Why These Related Problems?

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