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Finding the Fourth Proportional to 211,083.11, 291,298.11 and 115,588.16

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Solution

The fourth proportional to 211,083.11, 291,298.11 and 115,588.16 is: 159,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,083.11 : 291,298.11 = 115,588.16 : x
  2. Step 2: Convert to fraction form
    211,083.11/291,298.11 = 115,588.16/x
  3. Step 3: Cross multiply
    211,083.11x = 291,298.11 × 115,588.16
  4. Step 4: Simplify right side
    211,083.11x = 33,670,612,546.38
  5. Step 5: Solve for x
    x = 33,670,612,546.38/211,083.11
  6. Step 6: Final answer
    x = 159,513.53

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Why These Related Problems?

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