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Finding the Fourth Proportional to 362,140.40, 543,113.40 and 151,734.80

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Solution

The fourth proportional to 362,140.40, 543,113.40 and 151,734.80 is: 227,561.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,140.40 : 543,113.40 = 151,734.80 : x
  2. Step 2: Convert to fraction form
    362,140.40/543,113.40 = 151,734.80/x
  3. Step 3: Cross multiply
    362,140.40x = 543,113.40 × 151,734.80
  4. Step 4: Simplify right side
    362,140.40x = 82,409,203,126.32
  5. Step 5: Solve for x
    x = 82,409,203,126.32/362,140.40
  6. Step 6: Final answer
    x = 227,561.47

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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.