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Finding the Fourth Proportional to 194,389.64, 291,707.34 and 111,445.64

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Solution

The fourth proportional to 194,389.64, 291,707.34 and 111,445.64 is: 167,238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,389.64 : 291,707.34 = 111,445.64 : x
  2. Step 2: Convert to fraction form
    194,389.64/291,707.34 = 111,445.64/x
  3. Step 3: Cross multiply
    194,389.64x = 291,707.34 × 111,445.64
  4. Step 4: Simplify right side
    194,389.64x = 32,509,511,199.00
  5. Step 5: Solve for x
    x = 32,509,511,199.00/194,389.64
  6. Step 6: Final answer
    x = 167,238.91

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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.