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Finding the Fourth Proportional to 200,573.14, 300,857.41 and 48,771.08

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Solution

The fourth proportional to 200,573.14, 300,857.41 and 48,771.08 is: 73,156.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,573.14 : 300,857.41 = 48,771.08 : x
  2. Step 2: Convert to fraction form
    200,573.14/300,857.41 = 48,771.08/x
  3. Step 3: Cross multiply
    200,573.14x = 300,857.41 × 48,771.08
  4. Step 4: Simplify right side
    200,573.14x = 14,673,139,307.42
  5. Step 5: Solve for x
    x = 14,673,139,307.42/200,573.14
  6. Step 6: Final answer
    x = 73,156.05

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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.