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Finding the Fourth Proportional to 362,415.84, 543,581.53 and 96,197.03

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Solution

The fourth proportional to 362,415.84, 543,581.53 and 96,197.03 is: 144,284.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,415.84 : 543,581.53 = 96,197.03 : x
  2. Step 2: Convert to fraction form
    362,415.84/543,581.53 = 96,197.03/x
  3. Step 3: Cross multiply
    362,415.84x = 543,581.53 × 96,197.03
  4. Step 4: Simplify right side
    362,415.84x = 52,290,931,427.64
  5. Step 5: Solve for x
    x = 52,290,931,427.64/362,415.84
  6. Step 6: Final answer
    x = 144,284.34

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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.