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Finding the Fourth Proportional to 200,659.02, 300,985.47 and 48,857.52

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Solution

The fourth proportional to 200,659.02, 300,985.47 and 48,857.52 is: 73,285.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,659.02 : 300,985.47 = 48,857.52 : x
  2. Step 2: Convert to fraction form
    200,659.02/300,985.47 = 48,857.52/x
  3. Step 3: Cross multiply
    200,659.02x = 300,985.47 × 48,857.52
  4. Step 4: Simplify right side
    200,659.02x = 14,705,403,620.23
  5. Step 5: Solve for x
    x = 14,705,403,620.23/200,659.02
  6. Step 6: Final answer
    x = 73,285.53

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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.