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Finding the Fourth Proportional to 211,491.98, 291,869.64 and 116,007.58

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Solution

The fourth proportional to 211,491.98, 291,869.64 and 116,007.58 is: 160,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,491.98 : 291,869.64 = 116,007.58 : x
  2. Step 2: Convert to fraction form
    211,491.98/291,869.64 = 116,007.58/x
  3. Step 3: Cross multiply
    211,491.98x = 291,869.64 × 116,007.58
  4. Step 4: Simplify right side
    211,491.98x = 33,859,090,611.87
  5. Step 5: Solve for x
    x = 33,859,090,611.87/211,491.98
  6. Step 6: Final answer
    x = 160,096.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.