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Finding the Fourth Proportional to 212,636.14, 293,437.82 and 117,142.84

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Solution

The fourth proportional to 212,636.14, 293,437.82 and 117,142.84 is: 161,657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,636.14 : 293,437.82 = 117,142.84 : x
  2. Step 2: Convert to fraction form
    212,636.14/293,437.82 = 117,142.84/x
  3. Step 3: Cross multiply
    212,636.14x = 293,437.82 × 117,142.84
  4. Step 4: Simplify right side
    212,636.14x = 34,374,140,257.86
  5. Step 5: Solve for x
    x = 34,374,140,257.86/212,636.14
  6. Step 6: Final answer
    x = 161,657.09

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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.