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Finding the Fourth Proportional to 362,145.60, 543,283.20 and 151,804.80

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Solution

The fourth proportional to 362,145.60, 543,283.20 and 151,804.80 is: 227,734.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,145.60 : 543,283.20 = 151,804.80 : x
  2. Step 2: Convert to fraction form
    362,145.60/543,283.20 = 151,804.80/x
  3. Step 3: Cross multiply
    362,145.60x = 543,283.20 × 151,804.80
  4. Step 4: Simplify right side
    362,145.60x = 82,472,997,519.36
  5. Step 5: Solve for x
    x = 82,472,997,519.36/362,145.60
  6. Step 6: Final answer
    x = 227,734.36

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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.