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Finding the Fourth Proportional to 200,346.48, 300,529.44 and 165,222

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Solution

The fourth proportional to 200,346.48, 300,529.44 and 165,222 is: 247,841.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,346.48 : 300,529.44 = 165,222 : x
  2. Step 2: Convert to fraction form
    200,346.48/300,529.44 = 165,222/x
  3. Step 3: Cross multiply
    200,346.48x = 300,529.44 × 165,222
  4. Step 4: Simplify right side
    200,346.48x = 49,654,075,135.68
  5. Step 5: Solve for x
    x = 49,654,075,135.68/200,346.48
  6. Step 6: Final answer
    x = 247,841.02

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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.