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Finding the Fourth Proportional to 146,259.50, 219,389.26 and 35,451.50

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Solution

The fourth proportional to 146,259.50, 219,389.26 and 35,451.50 is: 53,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,259.50 : 219,389.26 = 35,451.50 : x
  2. Step 2: Convert to fraction form
    146,259.50/219,389.26 = 35,451.50/x
  3. Step 3: Cross multiply
    146,259.50x = 219,389.26 × 35,451.50
  4. Step 4: Simplify right side
    146,259.50x = 7,777,678,350.89
  5. Step 5: Solve for x
    x = 7,777,678,350.89/146,259.50
  6. Step 6: Final answer
    x = 53,177.25

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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.