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Finding the Fourth Proportional to 146,742.80, 220,114.20 and 146,742.80

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Solution

The fourth proportional to 146,742.80, 220,114.20 and 146,742.80 is: 220,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,742.80 : 220,114.20 = 146,742.80 : x
  2. Step 2: Convert to fraction form
    146,742.80/220,114.20 = 146,742.80/x
  3. Step 3: Cross multiply
    146,742.80x = 220,114.20 × 146,742.80
  4. Step 4: Simplify right side
    146,742.80x = 32,300,174,027.76
  5. Step 5: Solve for x
    x = 32,300,174,027.76/146,742.80
  6. Step 6: Final answer
    x = 220,114.20

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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.