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Finding the Fourth Proportional to 204,000.70, 305,914.65 and 98,851.90

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Solution

The fourth proportional to 204,000.70, 305,914.65 and 98,851.90 is: 148,235.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,000.70 : 305,914.65 = 98,851.90 : x
  2. Step 2: Convert to fraction form
    204,000.70/305,914.65 = 98,851.90/x
  3. Step 3: Cross multiply
    204,000.70x = 305,914.65 × 98,851.90
  4. Step 4: Simplify right side
    204,000.70x = 30,240,244,390.34
  5. Step 5: Solve for x
    x = 30,240,244,390.34/204,000.70
  6. Step 6: Final answer
    x = 148,235.98

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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.