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Finding the Fourth Proportional to 288,845.56, 433,264.02 and 101,858.68

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Solution

The fourth proportional to 288,845.56, 433,264.02 and 101,858.68 is: 152,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,845.56 : 433,264.02 = 101,858.68 : x
  2. Step 2: Convert to fraction form
    288,845.56/433,264.02 = 101,858.68/x
  3. Step 3: Cross multiply
    288,845.56x = 433,264.02 × 101,858.68
  4. Step 4: Simplify right side
    288,845.56x = 44,131,701,168.69
  5. Step 5: Solve for x
    x = 44,131,701,168.69/288,845.56
  6. Step 6: Final answer
    x = 152,786.50

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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.