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Finding the Fourth Proportional to 211,564.60, 317,361.30 and 61,804.60

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Solution

The fourth proportional to 211,564.60, 317,361.30 and 61,804.60 is: 92,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,564.60 : 317,361.30 = 61,804.60 : x
  2. Step 2: Convert to fraction form
    211,564.60/317,361.30 = 61,804.60/x
  3. Step 3: Cross multiply
    211,564.60x = 317,361.30 × 61,804.60
  4. Step 4: Simplify right side
    211,564.60x = 19,614,388,201.98
  5. Step 5: Solve for x
    x = 19,614,388,201.98/211,564.60
  6. Step 6: Final answer
    x = 92,711.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.