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Finding the Fourth Proportional to 149,614.21, 206,475.51 and 85,956.13

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Solution

The fourth proportional to 149,614.21, 206,475.51 and 85,956.13 is: 118,624.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,614.21 : 206,475.51 = 85,956.13 : x
  2. Step 2: Convert to fraction form
    149,614.21/206,475.51 = 85,956.13/x
  3. Step 3: Cross multiply
    149,614.21x = 206,475.51 × 85,956.13
  4. Step 4: Simplify right side
    149,614.21x = 17,747,835,779.38
  5. Step 5: Solve for x
    x = 17,747,835,779.38/149,614.21
  6. Step 6: Final answer
    x = 118,624.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.