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Finding the Fourth Proportional to 211,411.53, 291,745.80 and 115,918.02

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Solution

The fourth proportional to 211,411.53, 291,745.80 and 115,918.02 is: 159,965.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,411.53 : 291,745.80 = 115,918.02 : x
  2. Step 2: Convert to fraction form
    211,411.53/291,745.80 = 115,918.02/x
  3. Step 3: Cross multiply
    211,411.53x = 291,745.80 × 115,918.02
  4. Step 4: Simplify right side
    211,411.53x = 33,818,595,479.32
  5. Step 5: Solve for x
    x = 33,818,595,479.32/211,411.53
  6. Step 6: Final answer
    x = 159,965.71

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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.