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Finding the Fourth Proportional to 146,045.30, 218,905.95 and 57,269.30

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Solution

The fourth proportional to 146,045.30, 218,905.95 and 57,269.30 is: 85,840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,045.30 : 218,905.95 = 57,269.30 : x
  2. Step 2: Convert to fraction form
    146,045.30/218,905.95 = 57,269.30/x
  3. Step 3: Cross multiply
    146,045.30x = 218,905.95 × 57,269.30
  4. Step 4: Simplify right side
    146,045.30x = 12,536,590,522.34
  5. Step 5: Solve for x
    x = 12,536,590,522.34/146,045.30
  6. Step 6: Final answer
    x = 85,840.42

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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.