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Finding the Fourth Proportional to 194,133.12, 291,188.16 and 114,216

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Solution

The fourth proportional to 194,133.12, 291,188.16 and 114,216 is: 171,317.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,133.12 : 291,188.16 = 114,216 : x
  2. Step 2: Convert to fraction form
    194,133.12/291,188.16 = 114,216/x
  3. Step 3: Cross multiply
    194,133.12x = 291,188.16 × 114,216
  4. Step 4: Simplify right side
    194,133.12x = 33,258,346,882.56
  5. Step 5: Solve for x
    x = 33,258,346,882.56/194,133.12
  6. Step 6: Final answer
    x = 171,317.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.