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Finding the Fourth Proportional to 211,193.84, 291,447.72 and 115,706.64

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Solution

The fourth proportional to 211,193.84, 291,447.72 and 115,706.64 is: 159,675.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,193.84 : 291,447.72 = 115,706.64 : x
  2. Step 2: Convert to fraction form
    211,193.84/291,447.72 = 115,706.64/x
  3. Step 3: Cross multiply
    211,193.84x = 291,447.72 × 115,706.64
  4. Step 4: Simplify right side
    211,193.84x = 33,722,436,416.86
  5. Step 5: Solve for x
    x = 33,722,436,416.86/211,193.84
  6. Step 6: Final answer
    x = 159,675.28

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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.