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Finding the Fourth Proportional to 272,027.10, 408,040.65 and 146,055.90

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Solution

The fourth proportional to 272,027.10, 408,040.65 and 146,055.90 is: 219,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,027.10 : 408,040.65 = 146,055.90 : x
  2. Step 2: Convert to fraction form
    272,027.10/408,040.65 = 146,055.90/x
  3. Step 3: Cross multiply
    272,027.10x = 408,040.65 × 146,055.90
  4. Step 4: Simplify right side
    272,027.10x = 59,596,744,372.34
  5. Step 5: Solve for x
    x = 59,596,744,372.34/272,027.10
  6. Step 6: Final answer
    x = 219,083.85

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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.