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Finding the Fourth Proportional to 149,134.53, 205,814.51 and 85,476.44

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Solution

The fourth proportional to 149,134.53, 205,814.51 and 85,476.44 is: 117,962.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,134.53 : 205,814.51 = 85,476.44 : x
  2. Step 2: Convert to fraction form
    149,134.53/205,814.51 = 85,476.44/x
  3. Step 3: Cross multiply
    149,134.53x = 205,814.51 × 85,476.44
  4. Step 4: Simplify right side
    149,134.53x = 17,592,290,158.69
  5. Step 5: Solve for x
    x = 17,592,290,158.69/149,134.53
  6. Step 6: Final answer
    x = 117,962.55

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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.