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Finding the Fourth Proportional to 211,234.50, 291,503.61 and 115,744.82

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Solution

The fourth proportional to 211,234.50, 291,503.61 and 115,744.82 is: 159,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,234.50 : 291,503.61 = 115,744.82 : x
  2. Step 2: Convert to fraction form
    211,234.50/291,503.61 = 115,744.82/x
  3. Step 3: Cross multiply
    211,234.50x = 291,503.61 × 115,744.82
  4. Step 4: Simplify right side
    211,234.50x = 33,740,031,411.28
  5. Step 5: Solve for x
    x = 33,740,031,411.28/211,234.50
  6. Step 6: Final answer
    x = 159,727.84

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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.