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Finding the Fourth Proportional to 243,957.30, 365,417.55 and 202,485.30

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Solution

The fourth proportional to 243,957.30, 365,417.55 and 202,485.30 is: 303,297.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,957.30 : 365,417.55 = 202,485.30 : x
  2. Step 2: Convert to fraction form
    243,957.30/365,417.55 = 202,485.30/x
  3. Step 3: Cross multiply
    243,957.30x = 365,417.55 × 202,485.30
  4. Step 4: Simplify right side
    243,957.30x = 73,991,682,237.02
  5. Step 5: Solve for x
    x = 73,991,682,237.02/243,957.30
  6. Step 6: Final answer
    x = 303,297.68

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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.