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Finding the Fourth Proportional to 149,026.40, 222,956.40 and 96,538.40

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Solution

The fourth proportional to 149,026.40, 222,956.40 and 96,538.40 is: 144,429.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,026.40 : 222,956.40 = 96,538.40 : x
  2. Step 2: Convert to fraction form
    149,026.40/222,956.40 = 96,538.40/x
  3. Step 3: Cross multiply
    149,026.40x = 222,956.40 × 96,538.40
  4. Step 4: Simplify right side
    149,026.40x = 21,523,854,125.76
  5. Step 5: Solve for x
    x = 21,523,854,125.76/149,026.40
  6. Step 6: Final answer
    x = 144,429.81

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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.