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Finding the Fourth Proportional to 368,439.92, 552,659.87 and 102,200.43

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Solution

The fourth proportional to 368,439.92, 552,659.87 and 102,200.43 is: 153,300.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,439.92 : 552,659.87 = 102,200.43 : x
  2. Step 2: Convert to fraction form
    368,439.92/552,659.87 = 102,200.43/x
  3. Step 3: Cross multiply
    368,439.92x = 552,659.87 × 102,200.43
  4. Step 4: Simplify right side
    368,439.92x = 56,482,075,846.74
  5. Step 5: Solve for x
    x = 56,482,075,846.74/368,439.92
  6. Step 6: Final answer
    x = 153,300.64

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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.