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Finding the Fourth Proportional to 243,930.70, 365,896.05 and 160,219.90

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Solution

The fourth proportional to 243,930.70, 365,896.05 and 160,219.90 is: 240,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,930.70 : 365,896.05 = 160,219.90 : x
  2. Step 2: Convert to fraction form
    243,930.70/365,896.05 = 160,219.90/x
  3. Step 3: Cross multiply
    243,930.70x = 365,896.05 × 160,219.90
  4. Step 4: Simplify right side
    243,930.70x = 58,623,828,541.40
  5. Step 5: Solve for x
    x = 58,623,828,541.40/243,930.70
  6. Step 6: Final answer
    x = 240,329.85

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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.