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Finding the Fourth Proportional to 243,681.30, 365,003.55 and 202,209.30

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Solution

The fourth proportional to 243,681.30, 365,003.55 and 202,209.30 is: 302,883.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,681.30 : 365,003.55 = 202,209.30 : x
  2. Step 2: Convert to fraction form
    243,681.30/365,003.55 = 202,209.30/x
  3. Step 3: Cross multiply
    243,681.30x = 365,003.55 × 202,209.30
  4. Step 4: Simplify right side
    243,681.30x = 73,807,112,343.02
  5. Step 5: Solve for x
    x = 73,807,112,343.02/243,681.30
  6. Step 6: Final answer
    x = 302,883.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.