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Finding the Fourth Proportional to 153,297, 229,958.46 and 42,489

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Solution

The fourth proportional to 153,297, 229,958.46 and 42,489 is: 63,737.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,297 : 229,958.46 = 42,489 : x
  2. Step 2: Convert to fraction form
    153,297/229,958.46 = 42,489/x
  3. Step 3: Cross multiply
    153,297x = 229,958.46 × 42,489
  4. Step 4: Simplify right side
    153,297x = 9,770,705,006.94
  5. Step 5: Solve for x
    x = 9,770,705,006.94/153,297
  6. Step 6: Final answer
    x = 63,737.09

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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.