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Finding the Fourth Proportional to 211,468.94, 291,827.16 and 115,977.63

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Solution

The fourth proportional to 211,468.94, 291,827.16 and 115,977.63 is: 160,049.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,468.94 : 291,827.16 = 115,977.63 : x
  2. Step 2: Convert to fraction form
    211,468.94/291,827.16 = 115,977.63/x
  3. Step 3: Cross multiply
    211,468.94x = 291,827.16 × 115,977.63
  4. Step 4: Simplify right side
    211,468.94x = 33,845,422,386.43
  5. Step 5: Solve for x
    x = 33,845,422,386.43/211,468.94
  6. Step 6: Final answer
    x = 160,049.15

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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.