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Finding the Fourth Proportional to 230,564.80, 345,847.20 and 141,529.60

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Solution

The fourth proportional to 230,564.80, 345,847.20 and 141,529.60 is: 212,294.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,564.80 : 345,847.20 = 141,529.60 : x
  2. Step 2: Convert to fraction form
    230,564.80/345,847.20 = 141,529.60/x
  3. Step 3: Cross multiply
    230,564.80x = 345,847.20 × 141,529.60
  4. Step 4: Simplify right side
    230,564.80x = 48,947,615,877.12
  5. Step 5: Solve for x
    x = 48,947,615,877.12/230,564.80
  6. Step 6: Final answer
    x = 212,294.40

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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.