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Finding the Fourth Proportional to 201,926.10, 302,889.15 and 200,543.70

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Solution

The fourth proportional to 201,926.10, 302,889.15 and 200,543.70 is: 300,815.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,926.10 : 302,889.15 = 200,543.70 : x
  2. Step 2: Convert to fraction form
    201,926.10/302,889.15 = 200,543.70/x
  3. Step 3: Cross multiply
    201,926.10x = 302,889.15 × 200,543.70
  4. Step 4: Simplify right side
    201,926.10x = 60,742,510,830.86
  5. Step 5: Solve for x
    x = 60,742,510,830.86/201,926.10
  6. Step 6: Final answer
    x = 300,815.55

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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.