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Finding the Fourth Proportional to 205,810.40, 309,371.70 and 194,000.60

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Solution

The fourth proportional to 205,810.40, 309,371.70 and 194,000.60 is: 291,619.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,810.40 : 309,371.70 = 194,000.60 : x
  2. Step 2: Convert to fraction form
    205,810.40/309,371.70 = 194,000.60/x
  3. Step 3: Cross multiply
    205,810.40x = 309,371.70 × 194,000.60
  4. Step 4: Simplify right side
    205,810.40x = 60,018,295,423.02
  5. Step 5: Solve for x
    x = 60,018,295,423.02/205,810.40
  6. Step 6: Final answer
    x = 291,619.35

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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.