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Finding the Fourth Proportional to 157,415.90, 236,123.85 and 133,796.30

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Solution

The fourth proportional to 157,415.90, 236,123.85 and 133,796.30 is: 200,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,415.90 : 236,123.85 = 133,796.30 : x
  2. Step 2: Convert to fraction form
    157,415.90/236,123.85 = 133,796.30/x
  3. Step 3: Cross multiply
    157,415.90x = 236,123.85 × 133,796.30
  4. Step 4: Simplify right side
    157,415.90x = 31,592,497,471.76
  5. Step 5: Solve for x
    x = 31,592,497,471.76/157,415.90
  6. Step 6: Final answer
    x = 200,694.45

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