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Finding the Fourth Proportional to 149,952.34, 224,817.39 and 90,774.01

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Solution

The fourth proportional to 149,952.34, 224,817.39 and 90,774.01 is: 136,093.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,952.34 : 224,817.39 = 90,774.01 : x
  2. Step 2: Convert to fraction form
    149,952.34/224,817.39 = 90,774.01/x
  3. Step 3: Cross multiply
    149,952.34x = 224,817.39 × 90,774.01
  4. Step 4: Simplify right side
    149,952.34x = 20,407,576,008.03
  5. Step 5: Solve for x
    x = 20,407,576,008.03/149,952.34
  6. Step 6: Final answer
    x = 136,093.75

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Why These Related Problems?

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