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Finding the Fourth Proportional to 362,421.16, 543,589.50 and 96,202.36

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Solution

The fourth proportional to 362,421.16, 543,589.50 and 96,202.36 is: 144,292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,421.16 : 543,589.50 = 96,202.36 : x
  2. Step 2: Convert to fraction form
    362,421.16/543,589.50 = 96,202.36/x
  3. Step 3: Cross multiply
    362,421.16x = 543,589.50 × 96,202.36
  4. Step 4: Simplify right side
    362,421.16x = 52,294,592,771.22
  5. Step 5: Solve for x
    x = 52,294,592,771.22/362,421.16
  6. Step 6: Final answer
    x = 144,292.33

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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.