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Finding the Fourth Proportional to 243,681.80, 365,004.30 and 202,209.80

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Solution

The fourth proportional to 243,681.80, 365,004.30 and 202,209.80 is: 302,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,681.80 : 365,004.30 = 202,209.80 : x
  2. Step 2: Convert to fraction form
    243,681.80/365,004.30 = 202,209.80/x
  3. Step 3: Cross multiply
    243,681.80x = 365,004.30 × 202,209.80
  4. Step 4: Simplify right side
    243,681.80x = 73,807,446,502.14
  5. Step 5: Solve for x
    x = 73,807,446,502.14/243,681.80
  6. Step 6: Final answer
    x = 302,884.53

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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.