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Finding the Fourth Proportional to 150,458.70, 207,538.59 and 96,813.42

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Solution

The fourth proportional to 150,458.70, 207,538.59 and 96,813.42 is: 133,541.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,458.70 : 207,538.59 = 96,813.42 : x
  2. Step 2: Convert to fraction form
    150,458.70/207,538.59 = 96,813.42/x
  3. Step 3: Cross multiply
    150,458.70x = 207,538.59 × 96,813.42
  4. Step 4: Simplify right side
    150,458.70x = 20,092,520,679.88
  5. Step 5: Solve for x
    x = 20,092,520,679.88/150,458.70
  6. Step 6: Final answer
    x = 133,541.77

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