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Finding the Fourth Proportional to 127,441.99, 191,149.81 and 43,200

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Solution

The fourth proportional to 127,441.99, 191,149.81 and 43,200 is: 64,795.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,441.99 : 191,149.81 = 43,200 : x
  2. Step 2: Convert to fraction form
    127,441.99/191,149.81 = 43,200/x
  3. Step 3: Cross multiply
    127,441.99x = 191,149.81 × 43,200
  4. Step 4: Simplify right side
    127,441.99x = 8,257,671,684
  5. Step 5: Solve for x
    x = 8,257,671,684/127,441.99
  6. Step 6: Final answer
    x = 64,795.53

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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.